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

• URL: http://arxiv.org/abs/2311.04568v1
• Date: Wed, 8 Nov 2023 10:00:17 GMT
• Title: Sharing preparation contextuality in Bell experiment by arbitrary pair of sequential observers
• Authors: Asmita Kumari and Alok Kumar Pan
• Abstract summary: We study the sharing of non-locality and preparation contextuality based on a bipartite Bell inequality. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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