TY - JOUR AU - Junge, M. AU - Palazuelos Cabezón, Carlos AU - Parcet, J. AU - Perrin, M. PY - 2015 DO - 10.1063/1.4907378 SN - 0022-2488 UR - https://hdl.handle.net/20.500.14352/24016 T2 - Journal of Mathematical Physics 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... LA - eng PB - American Institute of Physics KW - Inequalities KW - field theory KW - Poisson's equation KW - information and communication theory KW - tensor methods. TI - Hypercontractivity in finite-dimensional matrix algebras TY - journal article VL - 56 ER -