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arXiv · 0802.0760

Testing the Hilbert space dimension

Nicolas Brunner·Stefano Pironio·Antonio Acin·Nicolas Gisin·Andre Allan Methot·Valerio Scarani
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Abstract

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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Nicolas Brunner, Stefano Pironio, Antonio Acin, Nicolas Gisin, Andre Allan Methot, Valerio Scarani. 2008-05-09. Testing the Hilbert space dimension. https://doi.org/10.1103/physrevlett.100.210503

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