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Testing the dimension of Hilbert spaces |
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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. | |
Identifiers | PMID: 18518591 | |
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Citation (ISO format) | 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 |