Hypercontractivity in finite-dimensional matrix algebras

Marius Junge; Carlos Palazuelos; Javier Parcet; Mathilde Perrin

doi:10.1063/1.4907378

Hypercontractivity in finite-dimensional matrix algebras

Marius Junge, Carlos Palazuelos, Javier Parcet, Mathilde Perrin

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Article number	023505
Journal	Journal of Mathematical Physics
Volume	56
Issue number	2
DOIs	https://doi.org/10.1063/1.4907378
State	Published - Feb 9 2015

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.4907378

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abstract = "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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Hypercontractivity in finite-dimensional matrix algebras

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