Insights into Quantum Contextuality and Bell Nonclassicality: A Study on Random Pure Two-Qubit Systems
- Resource Type
- Working Paper
- Authors
- Scala, Giovanni; Mandarino, Antonio
- Source
- Int J Theor Phys 63, 17 (2024)
- Subject
- Quantum Physics
- Language
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.
Comment: Submitted to Int. J. Theor. Phys. as part of the Collection IQSA22 - Quantum Structures for Interdisciplinary Applications