Scientific article
Open access

Testing the dimension of Hilbert spaces

Published inPhysical review letters, vol. 100, no. 210503, 4
Publication date2008

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.

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
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Article (Published version)
ISSN of the journal0031-9007

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