{"id":4066,"date":"2024-09-21T12:37:49","date_gmt":"2024-09-21T12:37:49","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=4066"},"modified":"2024-09-21T12:37:50","modified_gmt":"2024-09-21T12:37:50","slug":"successive-action-of-gates","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/09\/21\/successive-action-of-gates\/","title":{"rendered":"Successive action of gates"},"content":{"rendered":"\n<p>Two successive operations are two unitary gates, say A and B, acting one<\/p>\n\n\n\n<p>after another. Algebraically, we represent the resultant by the action of the<\/p>\n\n\n\n<p>usual matrix product of the two gates:<\/p>\n\n\n\n<p>|\u03c8i<\/p>\n\n\n\n<p>A<\/p>\n\n\n\n<p>\u2212\u2192 A|\u03c8i<\/p>\n\n\n\n<p>B<\/p>\n\n\n\n<p>\u2212\u2192 BA|\u03c8i. (7.13)<\/p>\n\n\n\n<p>Note that the order of the gates is important. Operators do not in general<\/p>\n\n\n\n<p>commute. The circuit representation of this process is like a time sequence,<\/p>\n\n\n\n<p>and the order of gates is obvious<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Two successive operations are two unitary gates, say A and B, acting one after another. Algebraically, we represent the resultant by the action of the usual matrix product of the two gates: |\u03c8i A \u2212\u2192 A|\u03c8i B \u2212\u2192 BA|\u03c8i. (7.13) Note that the order of the gates is important. Operators do not in general commute. [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":4041,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[496],"tags":[],"class_list":["post-4066","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantum-gates-and-circuits"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/09\/quantum-2.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4066","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=4066"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4066\/revisions"}],"predecessor-version":[{"id":4067,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4066\/revisions\/4067"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/4041"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=4066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=4066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=4066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}