Journal Article

PreJuSER-14944

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Extended Boole-Bell inequalities applicable to quantum theory

De Raedt, H. ; Hess, K. ; Michielsen, K.FZJ*

2011
American Scientific Publ. Stevenson Ranch, Calif.

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Please use a persistent id in citations: doi:10.1166/jctn.2011.1781

Abstract: We address the basic meaning of apparent contradictions of quantum theory and probability frameworks as expressed by Bell's inequalities. We show that these contradictions have their origin in the incomplete considerations of the premises of the derivation of the inequalities. A careful consideration of past work, including that of Boole and Vorob'ev, has lead us to the formulation of extended Boole-Bell inequalities that are binding for both classical and quantum models. The Einstein-Podolsky-Rosen-Bohm gedanken experiment and a macroscopic quantum coherence experiment proposed by Leggett and Garg are both shown to obey the extended Boole-Bell inequalities. These examples as well as additional discussions also provide reasons for apparent violations of these inequalities

Keyword(s): Boole Inequalities (auto) ; Bell Inequalities (auto) ; Quantum Theory (auto) ; EPR Paradox (auto)

Note: Record converted from VDB: 12.11.2012

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Contributing Institute(s):

1. Jülich Supercomputing Centre (JSC)

Research Program(s):

1. Scientific Computing (FUEK411) (FUEK411)
2. 411 - Computational Science and Mathematical Methods (POF2-411) (POF2-411)

Appears in the scientific report 2011

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