{"id":4068,"date":"2024-09-21T12:38:57","date_gmt":"2024-09-21T12:38:57","guid":{"rendered":"https:\/\/workhouse.sweetdishy.com\/?p=4068"},"modified":"2024-09-21T12:38:58","modified_gmt":"2024-09-21T12:38:58","slug":"measurement-gate","status":"publish","type":"post","link":"https:\/\/workhouse.sweetdishy.com\/index.php\/2024\/09\/21\/measurement-gate\/","title":{"rendered":"Measurement gate"},"content":{"rendered":"\n<p>At the end of a computation we need to measure the output in order to read<\/p>\n\n\n\n<p>out the result of the computation. This leads to obtaining classical information<\/p>\n\n\n\n<p>(in bits) out of the quantum system. One sets up an experiment that measures<\/p>\n\n\n\n<p>an appropriate physical quantity to give one of its eigenvalues as the result<\/p>\n\n\n\n<p>(recall Section 3.3 and the nature of measurements in quantum mechanics). We<\/p>\n\n\n\n<p>denote this process generically by a measurement gate . The double<\/p>\n\n\n\n<p>line for the output state is to emphasize that it is a classical state. By default<\/p>\n\n\n\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" src=\"https:\/\/learning.oreilly.com\/api\/v2\/epubs\/urn:orm:book:9781482238129\/files\/bg98.png\" width=\"671\" height=\"736\"><\/p>\n\n\n\n<p>Quantum Gates and Circuits 127<\/p>\n\n\n\n<p>the measurement is assumed to be in the computational basis. The state just<\/p>\n\n\n\n<p>prior to measurement encodes the probabilities of its collapsing to |0i or |1i<\/p>\n","protected":false},"excerpt":{"rendered":"<p>At the end of a computation we need to measure the output in order to read out the result of the computation. This leads to obtaining classical information (in bits) out of the quantum system. One sets up an experiment that measures an appropriate physical quantity to give one of its eigenvalues as the result [&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-4068","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\/4068","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=4068"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4068\/revisions"}],"predecessor-version":[{"id":4069,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4068\/revisions\/4069"}],"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=4068"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=4068"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=4068"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}