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Synchronous Observation of Bell Nonlocality and State-Dependent Contextuality

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Author(s):
Xue, Peng ; Xiao, Lei ; Ruffolo, G. ; Mazzari, A. ; Temistocles, T. ; Cunha, M. Terra ; Rabelo, R.
Total Authors: 7
Document type: Journal article
Source: Physical Review Letters; v. 130, n. 4, p. 6-pg., 2023-01-23.
Abstract

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 (CHSH) and the Klyachko-Can-Binicioglu-Shumovski (KCBS), for Bell nonlocality and Kochen-Specker contextuality, respectively. It has been shown that, using the most common interpretation of Bell scenarios, quantum systems cannot violate both inequalities concomitantly, thus suggesting a monogamous relation between the two phenomena. 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. We also implement a photonic experiment to test the synchronous violation of both CHSH and KCBS inequalities. Our results agree with the theoretical predictions, thereby providing experimental proof of the coexistence of Bell nonlocality and contextuality in the simplest scenario, and lead to novel possibilities where both concepts could be jointly employed for quantum information processing protocols. (AU)

FAPESP's process: 21/01502-6 - Bell nonlocality and Kochen-Specker contextuality
Grantee:André Saugo Mazzari
Support Opportunities: Scholarships in Brazil - Master
FAPESP's process: 18/07258-7 - Entanglement, bell nonlocality, and physical principles for quantum theory
Grantee:Rafael Luiz da Silva Rabelo
Support Opportunities: Research Grants - Young Investigators Grants
FAPESP's process: 21/10548-0 - Relations between correlations: entanglement, incompatibility, nonlocality and contextuality in quantum systems
Grantee:Gabriel Ruffolo
Support Opportunities: Scholarships in Brazil - Doctorate