Classical No-Cloning Theorem

A. Daffertshofer, A. R. Plastino, and A. Plastino
Phys. Rev. Lett. 88, 210601 – Published 9 May 2002
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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.

  • Received 17 December 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.210601

©2002 American Physical Society

Authors & Affiliations

A. Daffertshofer*

  • Faculty of Human Movement Sciences, Vrije Universiteit, van der Boechorststraat 9, 1081 BT, Amsterdam, The Netherlands

A. R. Plastino†,‡

  • Faculty of Astronomy and Geophysics, National University La Plata, C.C. 727, (1900) La Plata, Argentina

A. Plastino§,∥

  • Department of Physics, National University La Plata, C.C. 727, (1900) La Plata, Argentina

  • *Electronic address: marlow@fbw.vu.nl
  • Electronic address: plastino@sinectis.com.ar
  • National Research Council (CONICET), C.C. 727, (1900) La Plata, Argentina.
  • §Electronic address: plastino@venus.fisica.unlp.edu.ar

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Vol. 88, Iss. 21 — 27 May 2002

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