%0 Journal Article
%A Junge, M.
%A Palazuelos Cabezón, Carlos
%A Parcet, J.
%A Perrin, M.
%T Hypercontractivity in finite-dimensional matrix algebras
%D 2015
%@ 0022-2488
%U https://hdl.handle.net/20.500.14352/24016
%X We 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.
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