{"id":374,"date":"2022-12-14T20:06:52","date_gmt":"2022-12-14T20:06:52","guid":{"rendered":"https:\/\/live-optics-wp.pantheonsite.io\/pjessen\/?p=374"},"modified":"2022-12-14T20:55:58","modified_gmt":"2022-12-14T20:55:58","slug":"35_tomography","status":"publish","type":"post","link":"https:\/\/wp.optics.arizona.edu\/pjessen\/2022\/12\/14\/35_tomography\/","title":{"rendered":"35_tomography"},"content":{"rendered":"\n<p class=\"has-text-align-center\" style=\"font-size:30px\"><strong>Quantum state tomography by continuous measurement and compressed sensing<\/strong><\/p>\n\n\n\n<p class=\"center\" style=\"text-align: center\">\u00a0<\/p>\n<hr \/>\n<p class=\"center\" style=\"text-align: center\"><strong>A. Smith<sup>1<\/sup>, C. A. Riofrio<sup>2<\/sup>, B. E. Anderson<sup>1<\/sup>, H. Sosa-Martinez<sup>1<\/sup>, I. H. Deutsch<sup>2<\/sup>, P.S. Jessen<sup>1<\/sup><\/strong><\/p>\n<p class=\"center\" style=\"text-align: center\"><strong>1. Center for Quantum Information and Control, College of Optical Sciences and Department of Physics, University of Arizona, Tucson, Arizona 85721, USA<br \/>2. Center for Quantum Information and Control, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA<br \/><\/strong>\u00a0<\/p>\n<p class=\"center\" style=\"text-align: center\">The need to perform quantum state tomography on ever-larger systems has spurred a search for methods that yield good estimates from incomplete data. We study the performance of compressed sensing (CS) and least squares (LS) estimators in a fast protocol based on continuous measurement on an ensemble of cesium atomic spins. They both efficiently reconstruct nearly pure states in the 16-dimensional ground manifold, reaching average fidelities F<sub>CS<\/sub> = 0.92 and F<sub>LS<\/sub> = 0.88 using similar amounts of incomplete data. Surprisingly, the main advantage of CS in our protocol is an increased robustness to experimental imperfections.<br \/>\u00a0<\/p>\n<p class=\"center\" style=\"text-align: center\"><a href=\"https:\/\/wp.optics.arizona.edu\/pjessen\/publications\/\">Back<\/a> | <a href=\"http:\/\/wp.optics.arizona.edu\/pjessen\/wp-content\/uploads\/sites\/116\/2022\/12\/35_tomography.pdf\">Full Text<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Quantum state tomography by continuous measurement and compressed sensing<\/p>\n","protected":false},"author":245,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[39,1],"tags":[],"class_list":["post-374","post","type-post","status-publish","format-standard","hentry","category-39","category-abstracts"],"_links":{"self":[{"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/posts\/374","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/users\/245"}],"replies":[{"embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/comments?post=374"}],"version-history":[{"count":1,"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/posts\/374\/revisions"}],"predecessor-version":[{"id":375,"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/posts\/374\/revisions\/375"}],"wp:attachment":[{"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/media?parent=374"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/categories?post=374"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wp.optics.arizona.edu\/pjessen\/wp-json\/wp\/v2\/tags?post=374"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}