{"id":236873,"date":"2016-06-29T02:00:00","date_gmt":"2016-06-28T23:00:00","guid":{"rendered":"http:\/\/www.fyysika.ee\/?guid=f3e613c336d935d49195d8b66c9b1493"},"modified":"2016-06-29T02:00:00","modified_gmt":"2016-06-28T23:00:00","slug":"mathematical-and-physical-meaning-of-the-bell-inequalities","status":"publish","type":"post","link":"https:\/\/www.fyysika.ee\/?p=236873","title":{"rendered":"Mathematical and physical meaning of the Bell inequalities"},"content":{"rendered":"<p>It is shown that the Bell inequalities are closely related to the triangle inequalities involving<br \/>\ndistance functions amongst pairs of random variables with values ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/37\/5\/055402\/ejpaa29fdieqn1.gif] {${0,1}$} . A hidden variables<br \/>\nmodel may be defined as a mapping between a set of quantum projection operators and a set of random<br \/>\nvariables. The model is noncontextual if there is a joint probability distribution. The Bell<br \/>\ninequalities are necessary conditions for its existence. The inequalities are most relevant when<br \/>\nmeasurements are performed at space-like separation, thus showing a conflict between quantum<br \/>\nmechanics and local realism (Bell&#8217;s theorem). The relations of the Bell inequalities with<br \/>\ncontextuality, the Kochen\u2013Specker theorem, and quantum entanglement are briefly discussed.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>It is shown that the Bell inequalities are closely related to the triangle inequalities involving<br \/>\ndistance functions amongst pairs of random variables with values ##IMG##<br \/>\n[http:\/\/ej.iop.org\/images\/0143-0807\/37\/5\/055402\/ejpaa29fdieqn1.gif] {${0,1}$}&#8230;<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_genesis_hide_title":false,"_genesis_hide_breadcrumbs":false,"_genesis_hide_singular_image":false,"_genesis_hide_footer_widgets":false,"_genesis_custom_body_class":"","_genesis_custom_post_class":"","_genesis_layout":"","footnotes":""},"categories":[178],"tags":[],"class_list":{"0":"post-236873","1":"post","2":"type-post","3":"status-publish","4":"format-standard","6":"category-rss-fuusikaharidus","7":"entry"},"_links":{"self":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/236873","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=236873"}],"version-history":[{"count":0,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=\/wp\/v2\/posts\/236873\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=236873"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=236873"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.fyysika.ee\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=236873"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}