Hypercontractivity in finite-dimensional matrix algebras

Marius Junge, Carlos Palazuelos, Javier Parcet, Mathilde Perrin

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Article number023505
JournalJournal of Mathematical Physics
Issue number2
StatePublished - Feb 9 2015

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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