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Non-commutative Calculus, Optimal Transport and Functional Inequalities in Dissipative Quantum Systems

We study dynamical optimal transport metrics between density matrices associated to symmetric Dirichlet forms on finite-dimensional [Formula: see text] -algebras. Our setting covers arbitrary skew-derivations and it provides a unified framework that simultaneously generalizes recently constructed tr...

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Detalles Bibliográficos
Autores principales: Carlen, Eric A., Maas, Jan
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7672011/
https://www.ncbi.nlm.nih.gov/pubmed/33223567
http://dx.doi.org/10.1007/s10955-019-02434-w