--- res: bibo_abstract: - 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 that this complete gradient estimate is stable under tensor products and free products and establish its validity for a number of examples. As an application we prove a complete modified logarithmic Sobolev inequality with optimal constant for Poisson-type semigroups on free group factors.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Melchior foaf_name: Wirth, Melchior foaf_surname: Wirth foaf_workInfoHomepage: http://www.librecat.org/personId=88644358-0A0E-11EA-8FA5-49A33DDC885E orcid: 0000-0002-0519-4241 - foaf_Person: foaf_givenName: Haonan foaf_name: Zhang, Haonan foaf_surname: Zhang foaf_workInfoHomepage: http://www.librecat.org/personId=D8F41E38-9E66-11E9-A9E2-65C2E5697425 bibo_doi: 10.1007/s00220-021-04199-4 bibo_volume: 387 dct_date: 2021^xs_gYear dct_identifier: - UT:000691214200001 dct_isPartOf: - http://id.crossref.org/issn/0010-3616 - http://id.crossref.org/issn/1432-0916 dct_language: eng dct_publisher: Springer Nature@ dct_subject: - Mathematical Physics - Statistical and Nonlinear Physics dct_title: Complete gradient estimates of quantum Markov semigroups@ ...