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arXiv · 1803.05904

A generalization of the CHSH inequality self-testing maximally entangled states of any local dimension

Andrea Coladangelo
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Abstract

For every $d \geq 2$, we present a generalization of the CHSH inequality with the property that maximal violation self-tests the maximally entangled state of local dimension $d$. This is the first example of a family of inequalities with this property. Moreover, we provide a conjecture for a family of inequalities generalizing the tilted CHSH inequalities, and we conjecture that for each pure bipartite entangled state there is an inequality in the family whose maximal violation self-tests it. All of these inequalities are inspired by the self-testing correlations of [Nat. Comm. 8, 15485 (2017)].

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Andrea Coladangelo. 2018-03-15. A generalization of the CHSH inequality self-testing maximally entangled states of any local dimension. https://doi.org/10.1103/physreva.98.052115

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