@article{12087,
  abstract     = {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.},
  author       = {Wirth, Melchior and Zhang, Haonan},
  issn         = {1424-0637},
  journal      = {Annales Henri Poincare},
  pages        = {717--750},
  publisher    = {Springer Nature},
  title        = {{Curvature-dimension conditions for symmetric quantum Markov semigroups}},
  doi          = {10.1007/s00023-022-01220-x},
  volume       = {24},
  year         = {2023},
}