2014/03/31 by Gonzalo de la Torre, Matty J. Hoban, Chirag Dhara +2 · 50 citations
Computer Science · Mathematics · Physics and Astronomy · #Bell test experiments #Bell's theorem #CHSH inequality #Certification #Computer science #Economics #Epistemology #Intuition #Local hidden variable theory #Mathematical economics #Mathematics #Philosophy #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Randomness #Statistical physics #Statistics #Theoretical physics #quant-ph
paper · pdf · doi:10.1103/physrevlett.114.160502
published in Physical Review Letters 114(16), 160502 (American Physical Society) · 5+6 pages, no figures. Second version with further introductory material and slightly altered structure
openalex publication_date 2015/04/22 · arxiv created 2015/04/27 · arxiv updated 2015/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Correlations that violate a Bell inequality are said to be nonlocal; i.e., they do not admit a local and deterministic explanation. Great effort has been devoted to study how the amount of nonlocality (as measured by a Bell inequality violation) serves to quantify the amount of randomness present in observed correlations. In this work we reverse this research program and ask what do the randomness certification capabilities of a theory tell us about the nonlocality of that theory. We find that, contrary to initial intuition, maximal randomness certification cannot occur in maximally nonlocal theories. We go on and show that quantum theory, in contrast, permits certification of maximal randomness in all dichotomic scenarios. We hence pose the question of whether quantum theory is optimal for randomness; i.e., is it the most nonlocal theory that allows maximal randomness certification? We answer this question in the negative by identifying a larger-than-quantum set of correlations capable of this feat. Not only are these results relevant to understanding quantum mechanics' fundamental features, but also put fundamental restrictions on device-independent protocols based on the no-signaling principle.