Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems

Abstract

We explore the relationship between Kochen-Specker quantum contextuality and Bell-nonclassicality for ensembles of two-qubit pure states. We present a comparative analysis showing that the violation of a noncontextuality inequality on a given quantum state reverberates on the Bell-nonclassicality of the considered state. In particular, we use suitable inequalities that are experimentally testable to detect quantum contextuality and nonlocality for systems in a Hilbert space of dimension $d=4$. While contextuality can be assessed on different degrees of freedom of the same particle, the violation of local realism requires parties spatially separated.

Submitted to Int. J. Theor. Phys. as part of the Collection IQSA22 - Quantum Structures for Interdisciplinary Applications

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Cited by in corpus (1)

• Trade-off relations between Bell nonlocality and local Kochen-Specker contextuality in generalized Bell scenarios