Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866911782469107712 |
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| author | Scala, Giovanni Mandarino, Antonio |
| author_facet | Scala, Giovanni Mandarino, Antonio |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_09047 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems Scala, Giovanni Mandarino, Antonio Quantum Physics 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. |
| title | Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2310.09047 |