Relation of the Bell inequalities with quantum logic, hidden variables\n and information theory

2002/07/10 by Emilio Santos, Santos, Emilio
Arts and Humanities · Computer Science · Mathematics · Physics and Astronomy · #Bell test experiments #Bell's theorem #Benford’s Law and Fraud Detection #Classical logic #Computability, Logic, AI Algorithms #Computer science #Data mining #Discrete mathematics #FOS: Physical sciences #Hidden variable theory #Inequality #Kochen–Specker theorem #Local hidden variable theory #Mathematical analysis #Mathematical economics #Mathematics #Philosophy and History of Science #Physics #Quantum #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum computer #Quantum entanglement #Quantum information #Quantum logic #Quantum mechanics #Relation (database) #Theoretical physics #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0207062

published in arXiv (Cornell University) (Cornell University) · 12 pages

arxiv created 2002/07/10 · openalex publication_date 2002/07/10 · arxiv updated 2021/06/16 · openalex created_date 2022/10/03 · openalex updated_date 2026/08/06

Abstract

I review the relation of the Bell inequalities - characteristic of\n(classical) probabilities defined on Boolean logics - with noncontextual and\nlocal hidden variables theories of quantum mechanics and with quantum\ninformation.\n

Related

• Bell's Inequalities: Foundations and Quantum Communication
• Several foundational and information theoretic implications of Bell's theorem
• Bell inequalities and hidden variables over all possible paths in a quantum system
• The assumption in Bell's inequalities and entanglement problem
• Unseen facts due to the statistical derivation of the Bell inequality and their logical consequences