Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers

Abstract

Based on the quantum violation of bipartite Bell inequality, it has been demonstrated that the sharing of non-locality can be demonstrated for at most two sequential observers at one end and at most one-pair of observers at both ends. In this work, we study the sharing of non-locality and preparation contextuality based on a bipartite Bell inequality, involving arbitrary $n$ measurements by one party and $2^{n-1}$ measurements by other party. Such a Bell inequality has two bounds, the local bound and the preparation non-contextual bound, which is smaller than the local bound. We show that while non-locality can be shared only by first pair of the sequential observers, the preparation contextuality can be shared by arbitrary pair of independent sequential observers at both ends.

arXiv comment8 pages, 3 Figures

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Cited by in corpus (7)

• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Self-testing of multiple unsharpness parameters through sequential violations of non-contextual inequality
• Sequentially witnessing entanglement by independent observer pairs
• Security of Device-independent Quantum Key Distribution under Sequential Attack
• Sequential information theoretic protocols in continuous variable systems
• Device-independent secure correlations in sequential quantum scenarios
• Robust device-independent characterization of sharpness and incompatibility of unsharp instruments