title: Non-Markovianity of Gaussian Channels.
abstract: We introduce a necessary and sufficient criterion for the non-Markovianity of Gaussian quantum dynamical maps based on the violation of divisibility. The criterion is derived by defining a general vectorial representation of the covariance matrix which is then exploited to determine the condition for the complete positivity of partial maps associated with arbitrary time intervals. Such construction does not rely on the Choi-Jamiolkowski representation and does not require optimization over states.
authors: Dipartimento di Fisica "E. R. Caianiello", Università degli Studi di Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano, Salerno, Italy.|INFN, Sezione di Napoli, Gruppo collegato di Salerno, I-84084 Fisciano, Salerno, Italy.
authors: G
authors: G
authors: Torre
authors: Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano, Salerno, Italy.|Department of Physics, University of Strathclyde, John Anderson Building, 107 Rottenrow, Glasgow G4 0NG, United Kingdom.
authors: W
authors: W
authors: Roga
authors: INFN, Sezione di Napoli, Gruppo collegato di Salerno, I-84084 Fisciano, Salerno, Italy.|Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, Via Giovanni Paolo II 132, I-84084 Fisciano, Salerno, Italy.
authors: F
authors: F
authors: Illuminati