Geometric interpretation of the CHSH inequality of nonmaximally entangled states
arXiv:2205.02674 · doi:10.1103/PhysRevA.104.032218
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.
14 pages, 8 figures