Hypercontractivity in finite-dimensional matrix algebras
نویسندگان
چکیده
منابع مشابه
Hypercontractivity in Finite-dimensional Matrix Algebras
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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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2015
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.4907378