Limitations on Cloning in Classical Mechanics

Details Limitations on Cloning in Classical Mechanics Limitations on Cloning in Classical Mechanics

2010-10-28

arxiv.org/abs/1010.6103v3

Physics

Mathematical Physics

12 pages. Accepted for publication in the Journal of Mathematical Physics

Scientific paper

In this paper, we show that a result precisely analogous to the traditional quantum no-cloning theorem holds in classical mechanics. This classical no-cloning theorem does not prohibit classical cloning, we argue, because it is based on a too-restrictive definition of cloning. Using a less popular, more inclusive definition of cloning, we give examples of classical cloning processes. We also prove that a cloning machine must be at least as complicated as the object it is supposed to clone.

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