title: Classical no-cloning theorem.
abstract: A classical version of the no-cloning theorem is discussed. We show that an arbitrary probability distribution associated with a (source) system cannot be copied onto another (target) system while leaving the original distribution of the source system unperturbed. For classical dynamical systems such a perfect cloning process is not permitted by the Liouvillian (ensemble) evolution associated with the joint probability distribution of the composite source-target-copying machine system.
authors.affiliation: Faculty of Human Movement Sciences, Vrije Universiteit, van der Boechorststraat 9, 1081 BT, Amsterdam, The Netherlands. marlow@fbw.vu.nl
authors.forename: A
authors.initials: A
authors.lastname: Daffertshofer
authors.forename: A R
authors.initials: AR
authors.lastname: Plastino
authors.forename: A
authors.initials: A
authors.lastname: Plastino