1 School of Physics and Astronomy, Yunnan University, Kunming 650500, China; 2 Key Laboratory of Quantum Information of Yunnan Province, Kunming 650500, China; 3 College of Physics, Optoelectronics and Energy, Soochow University, Suzhou 215006, China
Abstract We propose a family of Hardy-type tests for an arbitrary n-partite system, which can detect different degrees of non-locality ranging from standard to genuine multipartite non-locality. For any non-signaling m-local hidden variable model, the corresponding tests fail, whereas a pass of this type of test indicates that this state is m non-local. We show that any entangled generalized GHZ state exhibits Hardy's non-locality for each rank of multipartite non-locality. Furthermore, for the detection of m non-localities, a family of Bell-type inequalities based on our test is constructed. Numerical results show that it is more efficient than the inequalities proposed in[Phys. Rev. A94 022110 (2016)].
(Entanglement measures, witnesses, and other characterizations)
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11575155, 11504253, and 11734015) and the Major Science and Technology Project of Yunnan Province, China (Grant No. 2018ZI002).
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