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arXiv:0706.1735 · International Journal of Theoretical Physics

Self Replication and Signalling

Indranil Chakrabarty, Prashant ., Binayak Samadder Choudhury

Published Jun 22, 2007• 2 citations
arXivHTMLPDF
DOI
10.1007/s10773-007-9447-6

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Arbitrary quantum states cannot be copied. In fact, to make a copy we must provide complete information about the system. However, can a quantum system self-replicate? This is not answered by the no-cloning theorem. In the classical context, Von Neumann showed that a `universal constructor' can exist which can self-replicate an arbitrary system, provided that it had access to instructions for making copy of the system. We question the existence of a universal constructor that may allow for the self-replication of an arbitrary quantum system. We prove that there is no deterministic universal quantum constructor which can operate with finite resources. Further, we delineate conditions under which such a universal constructor can be designed to operate dterministically and probabilistically.