Hypercontractivity in finite-dimensional matrix algebras | Zendy

Marius Junge | Zendy; Carlos Palazuelos | Zendy; Javier Parcet | Zendy; Mathilde Perrin | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Hypercontractivity in finite-dimensional matrix algebras

Author(s) -

Marius Junge,

Carlos Palazuelos,

Javier Parcet,

Mathilde Perrin

Publication year - 2015

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.4907378

Subject(s) - mathematics , class (philosophy) , matrix (chemical analysis) , quantum , pure mathematics , matrix algebra , poisson distribution , algebra over a field , quantum mechanics , physics , eigenvalues and eigenvectors , materials science , statistics , artificial intelligence , computer science , composite material

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

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research