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Lifting Bell inequalities

Pironio, Stefano (2005) Lifting Bell inequalities. Journal of Mathematical Physics, 46 (6). Art. No. 062112. ISSN 0022-2488. http://resolver.caltech.edu/CaltechAUTHORS:PIRjmp05

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Abstract

A Bell inequality defined for a specific experimental configuration can always be extended to a situation involving more observers, measurement settings, or measurement outcomes. In this article, such "liftings" of Bell inequalities are studied. It is shown that if the original inequality defines a facet of the polytope of local joint outcome probabilities then the lifted one also defines a facet of the more complex polytope.


Item Type:Article
Additional Information:Copyright © 2005 American Institute of Physics. Received 6 April 2005; accepted 20 April 2005; published online 10 June 2005. I would like to thank Jean-Paul Doignon and Serge Massar for helpful discussions. This work is supported by the David and Alice Van Buuren fellowship of the Belgian American Educational Foundation and by the National Science Foundation under Grant No. EIA-0086038.
Subject Keywords:COMPLEXITY; BELL THEOREM
Record Number:CaltechAUTHORS:PIRjmp05
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:PIRjmp05
Alternative URL:http://dx.doi.org/10.1063/1.1928727
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2082
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:07 Mar 2006
Last Modified:26 Dec 2012 08:47

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