RT Journal Article
T1 Hypercontractivity in finite-dimensional matrix algebras
A1 Junge, M.
A1 Palazuelos Cabezón, Carlos
A1 Parcet, J.
A1 Perrin, M.
AB 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.
PB American Institute of Physics
SN 0022-2488
YR 2015
FD 2015-02
LK https://hdl.handle.net/20.500.14352/24016
UL https://hdl.handle.net/20.500.14352/24016
LA eng
NO ICMAT Severo Ochoa
NO ERC
NO NSF
NO MINECO
NO “Ramón y Cajal” program (Spain)
DS Docta Complutense
RD 18 abr 2025