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All noncontextuality inequalities for the n-cycle scenario

Autor(en)

Mateus Araújo, Marco Tulio Quintino, Costantino Budroni, Marcelo Terra Cunha, Adan Cabello

Abstrakt

The problem of separating classical from quantum correlations is, in

general, intractable and has been solved explicitly only in a few cases.

In particular, known methods cannot provide general solutions for an

arbitrary number of settings. We provide the complete characterization

of the classical correlations and the corresponding maximal quantum

violations for the case of n≥4 observables X0,...,Xn−1, where each consecutive pair {Xi,Xi+1}, sum modn,

is jointly measurable. This generalizes both the

Clauser-Horne-Shimony-Holt and the Klyachko-Can-Binicioğlu-Shumovsky

scenarios, which are the simplest ones for locality and

noncontextuality, respectively. In addition, we provide explicit quantum

states and settings with maximal quantum violation and minimal quantum

dimension.

Organisation(en)

Quantenoptik, Quantennanophysik und Quanteninformation

Externe Organisation(en)

Federal University of Minas Gerais (UFMG), Universität Genf, Universität Siegen, Universidad de Sevilla

Journal

Physical Review A

Band

Anzahl der Seiten

ISSN

1050-2947

DOI

https://doi.org/10.1103/PhysRevA.88.022118

Publikationsdatum

08-2013

Peer-reviewed

ÖFOS 2012

103025 Quantenmechanik

Schlagwörter

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