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

Xiang, Yang 2011, The relation between Hardy's non-locality and violation of Bell inequality, Chinese physics B, vol. 20, no. 6, pp. 060301-1-060301-5, doi: 10.1088/1674-1056/20/6/060301.

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Title The relation between Hardy's non-locality and violation of Bell inequality
Author(s) Xiang, YangORCID iD for Xiang, Yang orcid.org/0000-0001-5252-0831
Journal name Chinese physics B
Volume number 20
Issue number 6
Article ID 060301
Start page 060301-1
End page 060301-5
Total pages 5
Publisher IOP Publishing
Place of publication Bristol, Eng.
Publication date 2011
ISSN 1674-1056
Keyword(s) Hardy’s non-locality
Bell inequality
information causality
Summary 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.
Language eng
DOI 10.1088/1674-1056/20/6/060301
Field of Research 01 Mathematical Sciences
02 Physical Sciences
09 Engineering
HERDC Research category C1.1 Refereed article in a scholarly journal
Copyright notice ©2011, Chinese Physical Society and IOP Publishing Ltd
Persistent URL http://hdl.handle.net/10536/DRO/DU:30115936

Document type: Journal Article
Collection: School of Information Technology
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