Dynamics and Quantum Optimal Transport: Three lectures on quantum entropy and quantum Markov semigroups
Mathematical Physics
2023-08-15 v2 Functional Analysis
math.MP
Quantum Physics
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.
Cite
@article{arxiv.2306.10903,
title = {Dynamics and Quantum Optimal Transport: Three lectures on quantum entropy and quantum Markov semigroups},
author = {Eric Carlen},
journal= {arXiv preprint arXiv:2306.10903},
year = {2023}
}
Comments
In this version 2, a number of typos have been corrected, and some parts of the discussion streamlined