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Tight upper bound on the quantum value of Svetlichny operators under local filtering and hidden genuine nonlocality |
Ling-Yun Sun1, Li Xu1, Jing Wang1, Ming Li1( ), Shu-Qian Shen1, Lei Li1, Shao-Ming Fei2,3 |
1. College of the Science, China University of Petroleum, Qingdao 266580, China
2. School of Mathematical Sciences, Capital Normal University, Beijing 100048, China
3. Max-Planck-Institute for Mathematics in the Sciences, Leipzig 04103, Germany |
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Abstract Nonlocal quantum correlations among the quantum subsystems play essential roles in quantum science. The violation of the Svetlichny inequality provides sufficient conditions of genuine tripartite nonlocality. We provide tight upper bounds on the maximal quantum value of the Svetlichny operators under local filtering operations, and present a qualitative analytical analysis on the hidden genuine nonlocality for three-qubit systems. We investigate in detail two classes of three-qubit states whose hidden genuine nonlocalities can be revealed by local filtering.
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| Keywords
Bell inequalities
Svetlichny inequality
local filtering operations
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Corresponding Author(s):
Ming Li
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Issue Date: 08 January 2021
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