Hypercontractivity in Finite-dimensional Matrix Algebras
نویسندگان
چکیده
We obtain hypercontrativity 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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تاریخ انتشار 2014