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Generalized Hardy-type tests for hierarchy of multipartite non-locality |
| Fei Yang(杨飞)1,2, Yu Yuan(袁毓)1, Wen-Lu Lin(林文璐)1, Shu-Ao Liao(廖书傲)1,2, Cheng-Jie Zhang(张成杰)3, Qing Chen(陈清)1,2 |
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 |
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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. A 94 022110 (2016)].
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Received: 13 August 2019
Revised: 18 October 2019
Accepted manuscript online:
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PACS:
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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| 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). |
Corresponding Authors:
Qing Chen
E-mail: chenqing@ynu.edu.cn
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Cite this article:
Fei Yang(杨飞), Yu Yuan(袁毓), Wen-Lu Lin(林文璐), Shu-Ao Liao(廖书傲), Cheng-Jie Zhang(张成杰), Qing Chen(陈清) Generalized Hardy-type tests for hierarchy of multipartite non-locality 2019 Chin. Phys. B 28 120306
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