Junge, M.Palazuelos Cabezón, CarlosParcet, J.Perrin, M.2023-06-182023-06-182015-020022-248810.1063/1.4907378https://hdl.handle.net/20.500.14352/24016We obtain hypercontractivity estimates for a large class of semigroups defined on finite-dimensional matrix algebras Mn. These semigroups arise from Poisson-like length functions Ψ on Zn × Zn and provide new hypercontractive families of quantum channels when Ψ is conditionally negative. We also study the optimality of our estimates.engjournal articlehttp://scitation.aip.org/content/aip/journal/jmp/56/2/10.1063/1.4907378http://www.aip.org/restricted access51Inequalitiesfield theoryPoisson's equationinformation and communication theorytensor methods.Matemáticas (Matemáticas)12 Matemáticas