Hypercontractivity in finite-dimensional matrix algebras



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Junge, M. and Palazuelos Cabezón, Carlos and Parcet, J. and Perrin, M. (2015) Hypercontractivity in finite-dimensional matrix algebras. Journal of Mathematical Physics, 56 (2). ISSN 0022-2488

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Official URL: http://scitation.aip.org/content/aip/journal/jmp/56/2/10.1063/1.4907378


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.

Item Type:Article
Uncontrolled Keywords:Inequalities; field theory; Poisson's equation; information and communication theory; tensor methods.
Subjects:Sciences > Mathematics
ID Code:30131
Deposited On:18 May 2015 09:20
Last Modified:18 May 2015 09:20

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