Generalized Bell Scenarios: Disturbing Consequences on Local-Hidden-Variable Models.

Area of Science:

• Foundations of quantum theory
• Quantum information science
• Quantum foundations

Background:

• Bell nonlocality and Kochen-Specker contextuality are key quantum phenomena exhibiting stronger-than-classical correlations.
• Nonlocality typically involves spatially separated systems, while contextuality concerns a single system.
• A unified framework for these phenomena has been recently proposed.

Purpose of the Study:

• To review, expand, and introduce new results within the unified framework of Bell nonlocality and Kochen-Specker contextuality.
• To explore contextual and disturbing features within local models.
• To investigate the relationship between quantum correlations and local behaviors, including post-quantum local behaviors.

Main Methods:

• Analysis of a unified framework for quantum contextuality and nonlocality.
• Exploration of local models and their properties.
• Identification and characterization of different local sets and their relationships.
• Investigation of the set of quantum correlations against local sets.
• Examination of extensions to the Fine-Abramsky-Brandenburger theorem.

Main Results:

• Definition of distinct local sets with non-trivial relationships based on contextual and disturbing features.
• Identification of post-quantum local behaviors.
• Demonstration of correlations that are simultaneously local and non-contextual but require different hidden variable models.
• Extensions of the Fine-Abramsky-Brandenburger theorem are discussed.

Conclusions:

• The unified framework provides a powerful tool for understanding quantum correlations and their classical counterparts.
• New insights into the nature of local realism and quantum contextuality are revealed.
• The study highlights the complexity and richness of quantum correlations beyond classical descriptions.