| The relation between Hardy’s non-locality and violation of Bell inequality |
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| 引用本文： | 向阳. The relation between Hardy’s non-locality and violation of Bell inequality[J]. 中国物理 B, 2011, 20(6): 60301-060301. DOI: 10.1088/1674-1056/20/6/060301 |
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| 作者姓名： | 向阳 |
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| 作者单位： | School of Physics and Electronics, Henan University, Kaifeng 475001, China |
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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 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.
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| 关 键 词： | Hardy’s non-locality Bell inequality information causality |
| 收稿时间： | 2010-09-20 |
The relation between Hardy's non-locality and violation of Bell inequality |
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| Xiang Yang. The relation between Hardy's non-locality and violation of Bell inequality[J]. Chinese Physics B, 2011, 20(6): 60301-060301. DOI: 10.1088/1674-1056/20/6/060301 |
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| Authors: | Xiang Yang |
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| Affiliation: | School of Physics and Electronics, Henan University, Kaifeng 475001, China |
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| 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. |
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| Keywords: | Hardy's non-locality Bell inequality information causality |
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