Randomness versus nonlocality in the Mermin-Bell experiment with three parties

Understand

The detection of nonlocal correlations in a Bell experiment implies almost by definition some intrinsic randomness in the measurement outcomes.

• For given correlations, or for a given Bell violation, the amount of randomness predicted by quantum physics, quantified by the guessing probability, can generally be bounded numerically.
• However, currently only a few exact analytic solutions are known for violations of the bipartite Clauser-Horne-Shimony-Holt Bell inequality.
• Here, we study the randomness in a Bell experiment where three parties test the tripartite Mermin-Bell inequality.