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Testing the dimension of Hilbert spaces

Méthot, André Allan
Published in Physical Review Letters. 2008, vol. 100, no. 210503, p. 4
Abstract Given a set of correlations originating from measurements on a quantum state of unknown Hilbert space dimension, what is the minimal dimension d necessary to describe such correlations? We introduce the concept of dimension witness to put lower bounds on d. This work represents a first step in a broader research program aiming to characterize Hilbert space dimension in various contexts related to fundamental questions and quantum information applications.
PMID: 18518591
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BRUNNER, Nicolas et al. Testing the dimension of Hilbert spaces. In: Physical Review Letters, 2008, vol. 100, n° 210503, p. 4. doi: 10.1103/PhysRevLett.100.210503 https://archive-ouverte.unige.ch/unige:23

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Deposited on : 2008-10-29

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