Extended Boole-Bell inequalities applicable to quantum theory Export

@article{citeulike:3972746, 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 premisses 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.}, archivePrefix = {arXiv}, author = {De Raedt, Hans and Hess, Karl and Michielsen, Kristel}, citeulike-article-id = {3972746}, citeulike-linkout-0 = {http://arxiv.org/abs/0901.2546}, citeulike-linkout-1 = {http://arxiv.org/pdf/0901.2546}, day = {16}, eprint = {0901.2546}, keywords = {applicable, boole-bell, inequalities, quantum, theory, to}, month = {Jan}, posted-at = {2009-08-17 17:09:16}, priority = {2}, title = {Extended Boole-Bell inequalities applicable to quantum theory}, url = {http://arxiv.org/abs/0901.2546}, year = {2009} }

TY - JOUR ID - citeulike:3972746 L3 - citeulike-article-id:3972746 N2 - 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 premisses 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. TI - Extended Boole-Bell inequalities applicable to quantum theory KW - applicable KW - boole-bell KW - inequalities KW - quantum KW - theory KW - to AU - De Raedt, Hans AU - Hess, Karl AU - Michielsen, Kristel PY - 2009/Jan/16/ UR - http://arxiv.org/abs/0901.2546 ER -