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Dynamics and Quantum Optimal Transport: Three lectures on quantum entropy and quantum Markov semigroups (2306.10903v2)
Published 19 Jun 2023 in math-ph, math.FA, math.MP, and quant-ph
Abstract: This document presents the contents of three lectures delivered by the author at the Erd\H{o}s Center School ``Optimal Transport on Quantum Structures'', Septemer 19-23, 2022 in Budapest, Hungary. It presents a fairly self contained account of an active topic of current research, and this account should be accessible to most graduate students, as befits lectures for a school. The main results are known, but there a number of new proofs and some new results.