Extended Bell inequality and maximum violation

doi:10.1088/1674-1056/27/10/100303

中国物理B ›› 2018, Vol. 27 ›› Issue (10): 100303-100303.doi: 10.1088/1674-1056/27/10/100303

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇下一篇

Extended Bell inequality and maximum violation

Yan Gu(古燕), Haifeng Zhang(张海峰), Zhigang Song(宋志刚), Jiuqing Liang(梁九卿), Lianfu Wei(韦联福)

1 Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China;
2 State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, China;
3 Quantum Optoelectronics Laboratory, School of Physics and Technology, Southwest Jiaotong University, Chengdu 610031, China

收稿日期:2018-07-17 修回日期:2018-08-02 出版日期:2018-10-05 发布日期:2018-10-05
通讯作者: Jiuqing Liang E-mail:jqliang@sxu.edu.cn
基金资助:
Project supported in part by the National Natural Science Foundation of China (Grant Nos. 11275118 and U1330201).

Extended Bell inequality and maximum violation

Yan Gu(古燕)¹, Haifeng Zhang(张海峰)¹, Zhigang Song(宋志刚)¹, Jiuqing Liang(梁九卿)¹, Lianfu Wei(韦联福)^2,3

1 Institute of Theoretical Physics and Department of Physics, State Key Laboratory of Quantum Optics and Quantum Optics Devices, Shanxi University, Taiyuan 030006, China;
2 State Key Laboratory of Optoelectronic Materials and Technologies, School of Physics and Engineering, Sun Yat-Sen University, Guangzhou 510275, China;
3 Quantum Optoelectronics Laboratory, School of Physics and Technology, Southwest Jiaotong University, Chengdu 610031, China

Received:2018-07-17 Revised:2018-08-02 Online:2018-10-05 Published:2018-10-05
Contact: Jiuqing Liang E-mail:jqliang@sxu.edu.cn
Supported by:
Project supported in part by the National Natural Science Foundation of China (Grant Nos. 11275118 and U1330201).

摘要/Abstract

摘要：

The original formula of Bell inequality (BI) in terms of two-spin singlet has to be modified for the entangled-state with parallel spin polarization. Based on classical statistics of the particle-number correlation, we prove in this paper an extended BI, which is valid for two-spin entangled states with both parallel and antiparallel polarizations. The BI and its violation can be formulated in a unified formalism based on the spin coherent-state quantum probability statistics with the state-density operator, which is separated to the local and non-local parts. The local part gives rise to the BI, while the violation is a direct result of the non-local quantum interference between two components of entangled state. The Bell measuring outcome correlation denoted by P_B is always less than or at most equal to one for the local realistic model (P_B^lc ≤ 1) regardless of the specific superposition coefficients of entangled state. Including the non-local quantum interference the maximum violation of BI is found as P_B^max=2, which, however depends on state parameters and three measuring directions as well. Our result is suitable for entangled photon pairs.

关键词: Bell inequality, quantum entanglement, non-locality, spin coherent state

Abstract:

Key words: Bell inequality, quantum entanglement, non-locality, spin coherent state

中图分类号: (Entanglement and quantum nonlocality)

03.65.Ud

03.67.Lx (Quantum computation architectures and implementations) 03.67.Mn (Entanglement measures, witnesses, and other characterizations) 42.50.Dv (Quantum state engineering and measurements)

古燕, 张海峰, 宋志刚, 梁九卿, 韦联福. Extended Bell inequality and maximum violation[J]. 中国物理B, 2018, 27(10): 100303-100303.

Yan Gu(古燕), Haifeng Zhang(张海峰), Zhigang Song(宋志刚), Jiuqing Liang(梁九卿), Lianfu Wei(韦联福). Extended Bell inequality and maximum violation[J]. Chin. Phys. B, 2018, 27(10): 100303-100303.

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Extended Bell inequality and maximum violation

Extended Bell inequality and maximum violation

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