Testing the Hilbert space dimension

Details Testing the Hilbert space dimension Testing the Hilbert space dimension

2008-02-06

arxiv.org/abs/0802.0760v2

Phys. Rev. Lett. 100, 210503 (2008)

Physics

Quantum Physics

4 pages, 1 figure; Accepted for publication in PRL

Scientific paper

10.1103/PhysRevLett.100.210503

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.

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