{"id":4245,"date":"2024-09-22T16:14:06","date_gmt":"2024-09-22T16:14:06","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=4245"},"modified":"2024-09-22T16:14:08","modified_gmt":"2024-09-22T16:14:08","slug":"what-are-the-properties-of-the-density-operator","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/09\/22\/what-are-the-properties-of-the-density-operator\/","title":{"rendered":"What are the properties of the density operator?"},"content":{"rendered":"\n<p>The density operator has the property\u00a0<strong>Tr(\u03c1<sup>2<\/sup>) \u2264 1<\/strong>, with equality if one of the prior probabilities is 1 and all the rest 0: \u03c1 = |\u03d5<sub>n<\/sub>\u3009\u3008\u03d5<sub>n<\/sub>\u00a0|; the density operator is then a projection operator.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The density operator has the property\u00a0Tr(\u03c12) \u2264 1, with equality if one of the prior probabilities is 1 and all the rest 0: \u03c1 = |\u03d5n\u3009\u3008\u03d5n\u00a0|; the density operator is then a projection operator.<\/p>\n","protected":false},"author":1,"featured_media":4020,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[504],"tags":[],"class_list":["post-4245","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mixed-states-open-systems-and-the-density-operator"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/09\/quantum-1.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4245","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/comments?post=4245"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4245\/revisions"}],"predecessor-version":[{"id":4247,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4245\/revisions\/4247"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/4020"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=4245"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=4245"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=4245"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}