More nonlocality with less entanglement
- Creators
-
Vidick, Thomas
- Wehner, Stephanie
Abstract
Recent numerical investigations [K. Pál and T. Vértesi, Phys. Rev. A 82, 022116 (2010)] suggest that the I3322 inequality, arguably the simplest extremal Bell inequality after the CHSH inequality, has a very rich structure in terms of the entangled states and measurements that maximally violate it. Here we show that for this inequality the maximally entangled state of any dimension achieves the same violation than just a single EPR pair. In contrast, stronger violations can be achieved using higher dimensional states which are less entangled. This shows that the maximally entangled state is not the most nonlocal resource, even when one restricts attention to the most simple extremal Bell inequalities.
Additional Information
© 2011 American Physical Society. Published 13 May 2011; Received 29 November 2010. Published 13 May 2011. We thank Salman Beigi for interesting discussions and Oded Regev for helpful comments. T.V. was supported by ARO Grant No.W911NF-09-1-0440 and NSF Grant No.CCF-0905626. S.W. was supported by the National Research Foundation (Singapore) and the Ministry of Education (Singapore). T.V. is grateful to CQT, Singapore for hosting him while part of this work was done.Attached Files
Published - PhysRevA.83.052310.pdf
Submitted - 1011.5206.pdf
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Additional details
- Eprint ID
- 65485
- Resolver ID
- CaltechAUTHORS:20160318-115742532
- Army Research Office (ARO)
- W911NF-09-1-0440
- NSF
- CCF-0905626
- National Research Foundation (Singapore)
- Ministry of Education (Singapore)
- Created
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2016-03-18Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field