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Phys. Rev. Lett. 88, 210601 (2002) [4 pages]

Classical No-Cloning Theorem

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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

Received 17 December 2001; published 9 May 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.210601
DOI:
10.1103/PhysRevLett.88.210601
PACS:
05.20.-y, 03.67.-a, 89.70.+c

*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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