TY  - JOUR
AU  - De Raedt, H.
AU  - Hess, K.
AU  - Michielsen, K.
TI  - Extended Boole-Bell inequalities applicable to quantum theory
JO  - Journal of computational and theoretical nanoscience
VL  - 8
IS  - 6
SN  - 1546-1955
CY  - Stevenson Ranch, Calif.
PB  - American Scientific Publ.
M1  - PreJuSER-14944
SP  - 1011 - 1039
PY  - 2011
N1  - Record converted from VDB: 12.11.2012
AB  - 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
LB  - PUB:(DE-HGF)16
C6  - pmid:18421121
UR  - <Go to ISI:>//WOS:000290691900013
DO  - DOI:10.1166/jctn.2011.1781
UR  - https://juser.fz-juelich.de/record/14944
ER  -