Using Nonsignaling Nonlocal Resources for Quantum Random Number Generation and Assessing Multi-Party Quantum Nonlocality

Peter Bierhorst

The University of New Orleans

Quantum nonlocality, as manifested in Bell inequality experiments, is a fundamentally non-classical phenomenon. As such, it can be used as a resource for information-theoretic tasks to go beyond what is possible for classical systems. A useful way to assess the quantum nonlocality of an experimental distribution is to compare it to the maximally nonlocal nonsignaling distribution known as the Popescu-Rohrlich (PR) box. In this talk, we study how the PR box can be used to 1) quantify how much certifiably unpredictable randomness can be extracted from a Bell experiment (as in [1]), and 2) assess the degree to which an experiment consisting of three separated measuring laboratories exhibits quantum nonlocality beyond what is possible in only two laboratories.

[1] (2018) “Experimentally generated randomness certified by the impossibility of superluminal signals,” P.Bierhorst et al., Nature 556:223-226