{"id":366,"date":"2018-10-25T22:01:10","date_gmt":"2018-10-25T22:01:10","guid":{"rendered":"https:\/\/www.q-crypt.com\/?page_id=366"},"modified":"2018-11-01T04:41:32","modified_gmt":"2018-11-01T04:41:32","slug":"curves-draft","status":"publish","type":"page","link":"https:\/\/www.q-crypt.com\/index.php\/curves-draft\/","title":{"rendered":"4.2 Curves ( draft )"},"content":{"rendered":"<h5>4.2 Curves<\/h5>\n<p>Foremost, it was an initially impossible challenge and it seems won! At first sight, the curves are as expected and the idea of looking was not in vain!<\/p>\n<p>Each polarizer is related to a rate of detections, also called <em>arm efficiency<\/em> ( AE). The general efficiency or <em>cross efficiency<\/em> is the pairs rate of the 2 polarizers, in general the product of the 2 arms efficiencies.<\/p>\n<p>With this first simulated curves comparison, the efficiency by arm is 84.9%, of the same order as the best detectors currently in the market. In the lab, the efficiency objectively reported in the greatest experiments [4] is lower. When the efficiency is summed on the raw data, before the lab experiment data filtering, the rates are 1 to 3 orders lower. <em>That the lab filters the data in a fundamental experiment is beyond the scope of this article.<\/em><\/p>\n<hr \/>\n<p>Observe that the green and magenta curves are almost superposed with different values of the m and n crystal parameters.<br \/>\n<img decoding=\"async\" class=\"aligncenter\" src=\"\/images\/c-8-120.png\" alt=\"n=8 and m=15\/2\" \/><br \/>\nThe functions vary smoothly with the change of\u00a0 the n and m parameters. m can be real but n must be an integer.<br \/>\n<img decoding=\"async\" class=\"aligncenter\" src=\"\/images\/c-7-69.png\" alt=\"n=7 and m=69\/4\" \/><br \/>\nThese 4 curves are the most efficient respectively for n=8,7,6 and 5.<\/p>\n<p>the parameters setting n=6 and m=6.5 gives the more similar to cos\u00b2 curve.<br \/>\n<img decoding=\"async\" class=\"aligncenter\" src=\"\/images\/c-6-42.png\" alt=\"n=6 and m=21\/2\" \/><\/p>\n<p>It seems that n=5 and m=5.25 is the more similar to the lab correlation curve, with less fitting at extreme values.<br \/>\n<img decoding=\"async\" class=\"aligncenter\" src=\"\/images\/c-5-25.png\" alt=\"n=5 and m=25\/4\" \/><\/p>\n<hr \/>\n<p>We can choose the m and n parameters to get more detections at the price of more differences between the curves.<br \/>\nWhen m becomes high , the efficiency raises until 99% and the curve is this time similar to the classical reference. Specific labs experiments, exploring the variations of n and m, may ask the physicality of the distribution.<br \/>\n<img decoding=\"async\" class=\"aligncenter\" src=\"\/images\/c-6-47.5.png\" alt=\"old classical n=6 m=47.5\" \/><\/p>\n<hr \/>\n<p>&nbsp;<\/p>\n<p>Is the curve below acceptable as quantum like ? probably yes. A 90% efficiency detector doesn&#8217;t yet exist.<br \/>\n<img decoding=\"async\" class=\"aligncenter\" src=\"\/images\/c-8-210.png\" alt=\"n=8 and m=52.5\" \/><\/p>\n<hr \/>\n<p>More troubling is this curve, as classical as the others and not only because it would show more &#8216;<em>entanglements<\/em>&#8216;:<br \/>\n<img decoding=\"async\" class=\"aligncenter\" src=\"\/images\/c-5-14.png\" alt=\"n=5 and m=3.5\" \/><br \/>\nIt is more or less a situation encoutered by a recent quantum experiment [6] where experimenters act on 2 variables to herald the entanglement. Is it entanglement or simple classical strong correlations, not expected only because we are not really familiar with correlations of periodic functions?<\/p>\n<p><strong>References<\/strong><br \/>\n6 U. Schilling, C. Thiel, E. Solano, T. Bastin, and J. von Zanthier: Heralded Entanglement of Arbitrary Degree in Remote Qubits ( september 2018 )<\/p>\n<p><a href=\"\/index.php\/draft\/\">Click here to return to the main page of the article<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<div class=\"mh-excerpt\"><p>4.2 Curves Foremost, it was an initially impossible challenge and it seems won! At first sight, the curves are as expected and the idea of <a class=\"mh-excerpt-more\" href=\"https:\/\/www.q-crypt.com\/index.php\/curves-draft\/\" title=\"4.2 Curves ( draft )\">[&#8230;]<\/a><\/p>\n<\/div>","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-full.php","meta":{"footnotes":""},"class_list":["post-366","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v28.7 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>4.2 Curves ( draft ) - q-Crypt<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.q-crypt.com\/index.php\/curves-draft\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"4.2 Curves ( draft ) - q-Crypt\" \/>\n<meta property=\"og:description\" content=\"4.2 Curves Foremost, it was an initially impossible challenge and it seems won! 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