中国物理B ›› 2011, Vol. 20 ›› Issue (6): 60301-060301.doi: 10.1088/1674-1056/20/6/060301

• GENERAL • 上一篇    下一篇

The relation between Hardy's non-locality and violation of Bell inequality

向阳   

  1. School of Physics and Electronics, Henan University, Kaifeng 475001, China
  • 收稿日期:2010-09-20 修回日期:2011-03-30 出版日期:2011-06-15 发布日期:2011-06-15
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10947142 and 11005031).

The relation between Hardy's non-locality and violation of Bell inequality

Xiang Yang (向阳)   

  1. School of Physics and Electronics, Henan University, Kaifeng 475001, China
  • Received:2010-09-20 Revised:2011-03-30 Online:2011-06-15 Published:2011-06-15
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 10947142 and 11005031).

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摘要： We give an analytic quantitative relation between Hardy's non-locality and Bell operator. We find that Hardy's non-locality is a sufficient condition for the violation of Bell inequality, the upper bound of Hardy's non-locality allowed by information causality just corresponds to Tsirelson bound of Bell inequality and the upper bound of Hardy's non-locality allowed by the principle of no-signaling just corresponds to the algebraic maximum of Bell operator. Then we study the Cabello's argument of Hardy's non-locality (a generalization of Hardy's argument) and find a similar relation between it and violation of Bell inequality. Finally, we give a simple derivation of the bound of Hardy's non-locality under the constraint of information causality with the aid of the above derived relation between Hardy's non-locality and Bell operator.

Abstract: We give an analytic quantitative relation between Hardy's non-locality and Bell operator. We find that Hardy's non-locality is a sufficient condition for the violation of Bell inequality, the upper bound of Hardy's non-locality allowed by information causality just corresponds to Tsirelson bound of Bell inequality and the upper bound of Hardy's non-locality allowed by the principle of no-signaling just corresponds to the algebraic maximum of Bell operator. Then we study the Cabello's argument of Hardy's non-locality (a generalization of Hardy's argument) and find a similar relation between it and violation of Bell inequality. Finally, we give a simple derivation of the bound of Hardy's non-locality under the constraint of information causality with the aid of the above derived relation between Hardy's non-locality and Bell operator.

Key words: Hardy's non-locality, Bell inequality, information causality

中图分类号:  (Entanglement and quantum nonlocality)

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