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The relation between Hardy's non-locality and violation of Bell inequality |
| Xiang Yang (向阳) |
| 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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Received: 20 September 2010
Revised: 30 March 2011
Accepted manuscript online:
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PACS:
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03.65.Ud
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(Entanglement and quantum nonlocality)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 10947142 and 11005031). |
Cite this article:
Xiang Yang (向阳) The relation between Hardy's non-locality and violation of Bell inequality 2011 Chin. Phys. B 20 060301
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