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Non-classical conditional probability and the quantum no-cloning theorem

Niestegge, Gerd (2015) Non-classical conditional probability and the quantum no-cloning theorem. In: UNSPECIFIED.

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Abstract

The quantum mechanical no-cloning theorem for pure states is generalized and transfered to the quantum logics with a conditional probability calculus. This is, on the one hand, an extension of the classical probability calculus and, on the other hand, a mathematical generalization of the Lueders - von Neumann quantum measurement process. In the non-classical case, a very special type of conditional probability emerges, describing the probability for the transition from a past event to a future event independently of any underlying state. This probability results from the algebraic structure of the quantum logic only and is invariant under algebraic morphisms, which is used to prove the generalized no-cloning theorem in a rather abstract, though simple and basic fashion without relying on a tensor product construction as required in other approaches.


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Item Type: Conference or Workshop Item (UNSPECIFIED)
Creators:
CreatorsEmailORCID
Niestegge, Gerdgerd.niestegge@web.de
Keywords: no-cloning theorem, quantum information, quantum computation, quantum communication, generalized probabilistic theories, foundations of quantum mechanics
Subjects: General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
Depositing User: Dr. Gerd Niestegge
Date Deposited: 24 Jan 2015 22:48
Last Modified: 13 Aug 2015 19:22
Item ID: 11280
Subjects: General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
Date: 30 January 2015
URI: http://philsci-archive.pitt.edu/id/eprint/11280

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