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arXiv · 2310.09047

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

Giovanni Scala·Antonio Mandarino
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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.

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Giovanni Scala, Antonio Mandarino. 2023-10-13. Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems. https://doi.org/10.1007/s10773-023-05543-1

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