This title appears in the Scientific Report :
2011
Please use the identifier:
http://dx.doi.org/10.1166/jctn.2011.1781 in citations.
Extended Boole-Bell inequalities applicable to quantum theory
Extended Boole-Bell inequalities applicable to quantum theory
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 conside...
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Personal Name(s): | De Raedt, H. |
---|---|
Hess, K. / Michielsen, K. | |
Contributing Institute: |
Jülich Supercomputing Center; JSC |
Published in: | Journal of computational and theoretical nanoscience, 8 (2011) 6, S. 1011 - 1039 |
Imprint: |
Stevenson Ranch, Calif.
American Scientific Publ.
2011
|
Physical Description: |
1011 - 1039 |
DOI: |
10.1166/jctn.2011.1781 |
PubMed ID: |
18421121 |
Document Type: |
Journal Article |
Research Program: |
Computational Science and Mathematical Methods Scientific Computing |
Series Title: |
Journal of Computational and Theoretical Nanoscience : for all Theoretical and Computational Aspects in Science, Engineering, and Biology
8 |
Subject (ZB): | |
Publikationsportal JuSER |
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 |