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Published November 2018 | Published + Submitted
Journal Article Open

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

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.

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.

Attached Files

Published - PhysRevA.98.052115.pdf

Submitted - 1803.05904.pdf

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Additional details

Created:
August 19, 2023
Modified:
October 19, 2023