中国物理B ›› 2019, Vol. 28 ›› Issue (12): 120306-120306.doi: 10.1088/1674-1056/ab54b8

• GENERAL • 上一篇    下一篇

Generalized Hardy-type tests for hierarchy of multipartite non-locality

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)   

  1. 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
  • 收稿日期:2019-08-13 修回日期:2019-10-18 出版日期:2019-12-05 发布日期:2019-12-05
  • 通讯作者: Qing Chen E-mail:chenqing@ynu.edu.cn
  • 基金资助:
    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).

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. 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
  • Received:2019-08-13 Revised:2019-10-18 Online:2019-12-05 Published:2019-12-05
  • Contact: Qing Chen E-mail:chenqing@ynu.edu.cn
  • Supported by:
    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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摘要： 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)].

关键词: Hardy paradox, Bell non-locality, multipartite non-locality

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)].

Key words: Hardy paradox, Bell non-locality, multipartite non-locality

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
03.67.Mn (Entanglement measures, witnesses, and other characterizations)