Testing the Hilbert space dimension

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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 describes 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.
4 pages, 1 figure; Accepted for publication in PRL

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Quantum Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/162027

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0802.0760
 http://arxiv.org/abs/0802.0760
 Phys. Rev. Lett. 100, 210503 (2008)
 doi:10.1103/PhysRevLett.100.210503

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arXiv