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@ARTICLE{DeRaedt:14944,
      author       = {De Raedt, H. and Hess, K. and Michielsen, K.},
      title        = {{E}xtended {B}oole-{B}ell inequalities applicable to
                      quantum theory},
      journal      = {Journal of computational and theoretical nanoscience},
      volume       = {8},
      number       = {6},
      issn         = {1546-1955},
      address      = {Stevenson Ranch, Calif.},
      publisher    = {American Scientific Publ.},
      reportid     = {PreJuSER-14944},
      pages        = {1011 - 1039},
      year         = {2011},
      note         = {Record converted from VDB: 12.11.2012},
      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},
      cin          = {JSC},
      ddc          = {570},
      cid          = {I:(DE-Juel1)JSC-20090406},
      pnm          = {Scientific Computing (FUEK411) / 411 - Computational
                      Science and Mathematical Methods (POF2-411)},
      pid          = {G:(DE-Juel1)FUEK411 / G:(DE-HGF)POF2-411},
      shelfmark    = {Chemistry, Multidisciplinary / Nanoscience $\&$
                      Nanotechnology / Materials Science, Multidisciplinary /
                      Physics, Applied / Physics, Condensed Matter},
      typ          = {PUB:(DE-HGF)16},
      pubmed       = {pmid:18421121},
      UT           = {WOS:000290691900013},
      doi          = {10.1166/jctn.2011.1781},
      url          = {https://juser.fz-juelich.de/record/14944},
}