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

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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 \(\varvec{d}={\textbf {4}}\). 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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Acknowledgements

GS is supported by QuantERA/2/2020, an ERA-Net co-fund in Quantum Technologies, under the eDICT project. AM is supported by Foundation for Polish Science (FNP), IRAP project ICTQT, contract no. 2018/MAB/5, co-financed by EU Smart Growth Operational Programme.

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  1. International Centre for Theory of Quantum Technologies, University of Gdansk, Jana Bażyńskiego 1A, Gdańsk, 80-309, Poland

    Giovanni Scala & Antonio Mandarino

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  1. Giovanni Scala
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Correspondence to Antonio Mandarino.

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Scala, G., Mandarino, A. Insights into Quantum Contextuality and Bell Nonclassicality: a Study on Random Pure Two-Qubit Systems. Int J Theor Phys 63, 17 (2024). https://doi.org/10.1007/s10773-023-05543-1

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