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Generalization of the Clauser-Horne-Shimony-Holt inequality self-testing maximally entangled states of any local dimension

Coladangelo, Andrea (2018) Generalization of the Clauser-Horne-Shimony-Holt inequality self-testing maximally entangled states of any local dimension. Physical Review A, 98 (5). Art. No. 052115. ISSN 2469-9926. http://resolver.caltech.edu/CaltechAUTHORS:20181113-092210840

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Abstract

The Clauser-Horne-Shimony-Holt inequality (CHSH) is one of the most popular and well-studied witnesses of Bell's theorem, separating classical from quantum correlations. In this work, for every d ≥ 2, we present a generalization of the CHSH inequality with the property that maximal violation is achieved uniquely by the maximally entangled state of local dimension d. This provides an avenue for device-independent certification of maximally entangled states of arbitrary local dimension.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevA.98.052115DOIArticle
https://arxiv.org/abs/1803.05904arXivDiscussion Paper
Alternate Title:A generalization of the CHSH inequality self-testing maximally entangled states of any local dimension
Additional Information:© 2018 American Physical Society. Received 27 June 2018; published 13 November 2018. The author thanks Koon Tong Goh and Thomas Vidick for helpful discussions, and thanks the latter for useful comments on an earlier version of this work. The author appreciates support from the Kortschak Scholars program, and AFOSR YIP Award No. FA9550-16-1-0495.
Funders:
Funding AgencyGrant Number
Kortschak Scholars ProgramUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-16-1-0495
Record Number:CaltechAUTHORS:20181113-092210840
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20181113-092210840
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:90858
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Nov 2018 17:29
Last Modified:13 Nov 2018 17:29

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