Curvature-dimension conditions for symmetric quantum Markov semigroups Wirth, Melchior ; https://orcid.org/0000-0002-0519-4241 Zhang, Haonan ddc:510 Following up on the recent work on lower Ricci curvature bounds for quantum systems, we introduce two noncommutative versions of curvature-dimension bounds for symmetric quantum Markov semigroups over matrix algebras. Under suitable such curvature-dimension conditions, we prove a family of dimension-dependent functional inequalities, a version of the Bonnet–Myers theorem and concavity of entropy power in the noncommutative setting. We also provide examples satisfying certain curvature-dimension conditions, including Schur multipliers over matrix algebras, Herz–Schur multipliers over group algebras and generalized depolarizing semigroups. Springer Nature 2023 info:eu-repo/semantics/article doc-type:Article Article http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/12087 https://research-explorer.ista.ac.at/download/12087/14051 Wirth M, Zhang H. Curvature-dimension conditions for symmetric quantum Markov semigroups. <i>Annales Henri Poincare</i>. 2023;24:717-750. doi:<a href="https://doi.org/10.1007/s00023-022-01220-x">10.1007/s00023-022-01220-x</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/s00023-022-01220-x info:eu-repo/semantics/altIdentifier/issn/1424-0637 info:eu-repo/semantics/altIdentifier/wos/000837499800002 info:eu-repo/semantics/altIdentifier/arxiv/2105.08303 info:eu-repo/semantics/altIdentifier/pmid/36950223 info:eu-repo/semantics/openAccess