Synchronous Observation of Bell Nonlocality and State-Dependent Contextuality

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Synchronous Observation of Bell Nonlocality and State-Dependent Contextuality
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Study proves compatibility of two fundamental principles of quantumtheory physrevlett

Bell nonlocality and Kochen-Specker contextuality are two remarkable nonclassical features of quantum theory, related to strong correlations between outcomes of measurements performed on quantum systems. Both phenomena can be witnessed by the violation of certain inequalities, the simplest and most important of which are the Clauser-Horne-Shimony-Holt and the Klyachko-Can-Binicioğlu-Shumovski , for Bell nonlocality and Kochen-Specker contextuality, respectively.

In this Letter, we show that the joint consideration of the CHSH and KCBS inequalities naturally calls for the so-called generalized Bell scenarios, which, contrary to the previous results, allows for joint violation of them. In fact, this result is not a special feature of such inequalities: We provide very strong evidence that there is no monogamy between nonlocality and contextuality in any scenario where both phenomena can be observed.

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