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Complete Gradient Estimates of Quantum Markov Semigroups

In this article we introduce a complete gradient estimate for symmetric quantum Markov semigroups on von Neumann algebras equipped with a normal faithful tracial state, which implies semi-convexity of the entropy with respect to the recently introduced noncommutative 2-Wasserstein distance. We show...

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Detalles Bibliográficos
Autores principales: Wirth, Melchior, Zhang, Haonan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer Berlin Heidelberg 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8550562/
https://www.ncbi.nlm.nih.gov/pubmed/34776525
http://dx.doi.org/10.1007/s00220-021-04199-4