{"id":4258,"date":"2024-09-22T16:16:55","date_gmt":"2024-09-22T16:16:55","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=4258"},"modified":"2024-09-22T16:16:56","modified_gmt":"2024-09-22T16:16:56","slug":"what-is-the-expectation-of-the-density-operator","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/09\/22\/what-is-the-expectation-of-the-density-operator\/","title":{"rendered":"What is the expectation of the density operator?"},"content":{"rendered":"\n<p>The density operator formalism is a generalization of the Pure State QM we have used so far. The expectation value of an operator is defined (with respect to state |\u03c8\u3009) as:\u00a0<strong>The interpretation is the average of the results of many measurements of the observable A on a system prepared in state |\u03c8\u3009<\/strong>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The density operator formalism is a generalization of the Pure State QM we have used so far. The expectation value of an operator is defined (with respect to state |\u03c8\u3009) as:\u00a0The interpretation is the average of the results of many measurements of the observable A on a system prepared in state |\u03c8\u3009.<\/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-4258","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\/4258","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=4258"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4258\/revisions"}],"predecessor-version":[{"id":4259,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4258\/revisions\/4259"}],"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=4258"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=4258"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=4258"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}