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 $d\ge 2$, 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.

• Received 27 June 2018

DOI:https://doi.org/10.1103/PhysRevA.98.052115