Testing the Hilbert space dimension
Quantum Physics
2008-06-03 v2
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.
Cite
@article{arxiv.0802.0760,
title = {Testing the Hilbert space dimension},
author = {Nicolas Brunner and Stefano Pironio and Antonio Acin and Nicolas Gisin and Andre Allan Methot and Valerio Scarani},
journal= {arXiv preprint arXiv:0802.0760},
year = {2008}
}
Comments
4 pages, 1 figure; Accepted for publication in PRL