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Polyhedral duality in Bell scenarios with two binary observables
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10.1063/1.4734586
By Tobias Fritz1,a)
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Affiliations:
1 ICFO–Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain
a) E-mail: tobias.fritz@icfo.es.
J. Math. Phys. 53, 072202 (2012)
/content/aip/journal/jmp/53/7/10.1063/1.4734586
http://aip.metastore.ingenta.com/content/aip/journal/jmp/53/7/10.1063/1.4734586

Figures

FIG. 1.

Sections of the cone Sq and its dual Sq* at a fixed value of x 0, respectively, x 0. The isomorphism (11) is a linear bijection mapping Sq to Sq*.

Tables

Table I.

Correspondence between the facet Bell inequalities as classified in Ref. 23 and the extremal no-signaling boxes as classified in Ref. 20. (Courtesy of Jean-Daniel Bancal)

Table II.

List of extremal 3-partite no-signaling boxes in the numbering of Ref. 20 which can be constructed as in Proposition 9, together with the required involution ι defined by specifying the observables on which it acts nontrivially, in the notation of Ref. 20. Those for which κ is listed also arise from the more convenient construction of Proposition 10.

/content/aip/journal/jmp/53/7/10.1063/1.4734586
2012-07-16
2014-04-25

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