| The relation between and violation of Hardy＇s non-locality Bell inequality |
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| 作者姓名： | 向阳 |
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| 基金项目： | 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 CabeUo＇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.
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| 关 键 词： | Hardy 贝尔不等式 非局域性 因果关系 约束信息 局部性 运营商 定量关系 |
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