Testing the dimension of Hilbert spaces.
- Brunner N Group of Applied Physics, University of Geneva, Geneva, Switzerland.
- Pironio S
- Acin A
- Gisin N
- Méthot AA
- Scarani V
- 2008-06-04
Published in:
- Physical review letters. - 2008
English
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.
- Language
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- English
- Open access status
- green
- Identifiers
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- DOI 10.1103/PhysRevLett.100.210503
- PMID 18518591
- Persistent URL
- https://sonar.ch/global/documents/220184
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