All noncontextuality inequalities for the-cycle scenario
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- 21 August 2013
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 88 (2), 022118
- https://doi.org/10.1103/physreva.88.022118
Abstract
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 observables , where each consecutive pair , sum , 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.
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