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On the relation between Bell's inequalities and nonlocal games

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 May 2008Embargo end date: 01 Oct 2007 Belgium English Publisher:Elsevier BVJournal:Physics Letters A, volume 372, pages 3,796-3,800 (issn: 0375-9601, Copyright policy )
Authors: Silman, Jonathan; Machnes, S.; Aharon, N;

doi: 10.1016/j.physleta.2008.03.001 , 10.48550/arxiv.0710.3322

arXiv: 0710.3322

handle: 2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/138774

On the relation between Bell's inequalities and nonlocal games

Abstract

We investigate the relation between Bell inequalities and nonlocal games by presenting a systematic method for their bilateral conversion. In particular, we show that while to any nonlocal game there naturally corresponds a unique Bell inequality, the converse is not true. As an illustration of the method we present a number of nonlocal games that admit better odds when played using quantum resources

v3 changes: Updates to reflect PLA version. 1 examples changed. Physics Letters A (accepted for publication)

Country
Belgium
Related Organizations
Keywords

Quantum Physics, Mécanique quantique classique et relativiste, Quantum information, communication, networks (quantum-theoretic aspects), Quantum coherence, entanglement, quantum correlations, FOS: Physical sciences, Quantum measurement theory, state operations, state preparations, Quantum Physics (quant-ph), Game theory

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    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 23
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Top 10%
Top 10%
Top 10%
Green
bronze