Boole and Bell inequality

Journal Article · Mon Mar 28 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3578732· OSTI ID:21511516

Michielsen, K ^[1]; De Raedt, H ^[2]; Hess, K ^[3]

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1. Institute for Advanced Simulation, Juelich Supercomputing Centre, Research Centre Juelich, D-52425 Juelich (Germany)
2. Department of Applied Physics, Zernike Institute for Advanced Materials, University of Groningen, Nijenborgh 4, NL-9747 AG Groningen (Netherlands)
3. Beckman Institute, Department of Electrical and Computer Engineering and Department of Physics, University of Illinois, Urbana, Il 61801 (United States)

We discuss the relation between Bell's and Boole's inequality. We apply both to the analysis of measurement results in idealized Einstein-Podolsky-Rosen-Bohm experiments. We present a local realist model that violates Bell's and Boole's inequality due to the absence of Boole's one-to-one correspondence between the two-valued variables of the mathematical description and the two-valued measurement results.

• OSTI ID: 21511516
• Journal Information: AIP Conference Proceedings, Vol. 1327, Issue 1; Conference: International conference on advances in quantum theory, Vaexjoe (Sweden), 14-17 Jun 2010; Other Information: DOI: 10.1063/1.3578732; (c) 2011 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BELL THEOREM
FUNCTIONAL ANALYSIS
INTEGRAL EQUATIONS
PROBABILITY
QUANTUM FIELD THEORY
EQUATIONS
FIELD THEORIES
MATHEMATICS