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Discrete–continuous and classical–quantum

Published online by Cambridge University Press:  01 April 2007

THIERRY PAUL
THIERRY PAUL*
Affiliation:
Départemant de Mathématiques et Applications, Ecole Normale Supérieure and CNRS, 45 rue d'Ulm, F – 75230 Paris Cedex 05
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Extract

We present a discussion concerning the opposition between discreteness and the continuum in quantum mechanics. In particular, it is shown that this duality was not restricted to the early days of the theory, but remains current, and features different aspects of discretisation. In particular, the discreteness of quantum mechanics is key for quantum information and quantum computation. We propose a conclusion involving a concept of completeness linking discreteness and the continuum.

Type
Paper
Information
Mathematical Structures in Computer Science , Volume 17 , Issue 2 , April 2007 , pp. 177 - 183
Copyright
Copyright © Cambridge University Press 2007

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