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arXiv · 2205.02674

Geometric interpretation of the CHSH inequality of nonmaximally entangled states

Johannes Seiler·Thomas Strohm·Wolfgang P. Schleich
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Abstract

We show that for pure and mixed states the problem of maximizing the correlation measure in the CHSH inequality reduces to maximizing the perimeter of a parallelogram enclosed by an ellipse characterized by the entanglement contained in the bipartite system. Since our geometrical description is also valid for a non-maximally entangled state we can determine the corresponding optimal measurements.

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Johannes Seiler, Thomas Strohm, Wolfgang P. Schleich. 2022-05-05. Geometric interpretation of the CHSH inequality of nonmaximally entangled states. https://doi.org/10.1103/physreva.104.032218

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