discover which error has occurred. Second, the no-cloning theorem prevents<\/p>\n\n\n\n
us from creating redundant quantum information by cloning a qubit. Also,<\/p>\n\n\n\n
one cannot think of copying an output before measuring it.<\/p>\n\n\n\n
Nevertheless, as we will see in this section, it is possible to correct qubits for<\/p>\n\n\n\n
errors in an intrinsic manner without destroying the information they carry. It<\/p>\n\n\n\n
also turns out that the whole continuum of possible errors can be represented<\/p>\n\n\n\n
by a \ufb01nite set of discrete errors. In short, quantum error correction is possible<\/p>\n\n\n\n
and e\ufb03ciently implementable. We will study the basic principles of how this<\/p>\n\n\n\n
works in the somewhat arti\ufb01cial but simple context of single-qubit errors<\/p>\n","protected":false},"excerpt":{"rendered":"
discover which error has occurred. Second, the no-cloning theorem prevents us from creating redundant quantum information by cloning a qubit. Also, one cannot think of copying an output before measuring it. Nevertheless, as we will see in this section, it is possible to correct qubits for errors in an intrinsic manner without destroying the information […]<\/p>\n","protected":false},"author":1,"featured_media":4044,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[499],"tags":[],"class_list":["post-4117","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-quantum-error-correction"],"jetpack_featured_media_url":"https:\/\/workhouse.sweetdishy.com\/wp-content\/uploads\/2024\/09\/error-state.png","_links":{"self":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4117","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=4117"}],"version-history":[{"count":1,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4117\/revisions"}],"predecessor-version":[{"id":4119,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/posts\/4117\/revisions\/4119"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media\/4044"}],"wp:attachment":[{"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/media?parent=4117"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/categories?post=4117"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/workhouse.sweetdishy.com\/index.php\/wp-json\/wp\/v2\/tags?post=4117"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}