Testing the Hilbert space dimension

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dc.creatorBrunner, Nicolas
dc.creatorPironio, Stefano
dc.creatorAcin, Antonio
dc.creatorGisin, Nicolas
dc.creatorMethot, Andre Allan
dc.creatorScarani, Valerio
dc.date2008-02-06
dc.date2008-05-09
dc.date.accessioned2026-07-07T09:42:00Z
dc.date.available2026-07-07T09:42:00Z
dc.descriptionGiven 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.
dc.description4 pages, 1 figure; Accepted for publication in PRL
dc.identifierhttps://arxiv.org/abs/0802.0760
dc.identifierhttp://arxiv.org/abs/0802.0760
dc.identifierPhys. Rev. Lett. 100, 210503 (2008)
dc.identifierdoi:10.1103/PhysRevLett.100.210503
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/162027
dc.subjectQuantum Physics
dc.titleTesting the Hilbert space dimension
dc.typetext

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