par Giovannetti, Vittorio;Holevo, Alexander A.S.;Garcia-Patron Sanchez, Raul
Référence Communications in Mathematical Physics, 334, 3, page (1553-1571)
Publication Publié, 2014
Article révisé par les pairs
Résumé : The long-standing conjectures of the optimality of Gaussian inputs and additivity are solved for a broad class of gauge-covariant or contravariant bosonic Gaussian channels (which includes in particular thermal, additive classical noise, and amplifier channels) restricting to the class of states with finite second moments. We show that the vacuum is the input state which minimizes the entropy at the output of such channels. This allows us to show also that the classical capacity of these channels (under the input energy constraint) is additive and is achieved by Gaussian encodings.