Tight upper bound of genuine four party Svetlichny type nonlocality with and without local filtering

• URL: http://arxiv.org/abs/2310.12311v1
• Date: Wed, 18 Oct 2023 20:23:21 GMT
• Title: Tight upper bound of genuine four party Svetlichny type nonlocality with and without local filtering
• Authors: Sk Sahadat Hossain, Biswajit Paul, Indrani Chattopadhyay and Debasis Sarkar
• Abstract summary: identifying the nonlocality of a multiparty quantum state is an important task in quantum mechanics. Here we have developed a tight upper bound for genuine four party Svetlichny type nonlocality. The relations between the genuine multipartite entanglement and the maximal quantum value of the Seevinck and Svetlichny operators for pure four qubit states are also discussed.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Identifying the nonlocality of a multiparty quantum state is an important task in quantum mechanics. Seevinck and Svetlichny [Phys. Rev. Lett. 89, 060401 (2002)], and independently, Collins and co-workers [Phys. Rev. Lett. 88, 170405 (2002)] have generalized the tripartite notion of Svetlichny nonlocality to n-parties. Here we have developed a tight upper bound for genuine four party Svetlichny type nonlocality. The constraints on the quantum states for the tightness of the bound are also presented. The method enables us to provide necessary and sufficient conditions for violating the four qubit Svetlichny type inequality for several quantum states. The relations between the genuine multipartite entanglement and the maximal quantum value of the Seevinck and Svetlichny operators for pure four qubit states are also discussed. Consequently, we have exhibited genuine four qubit hidden nonlocality under local filtering. Our result provides an effective and operational method for further study of multipartite quantum nonlocality.

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