{"id":23150,"date":"2023-09-05T10:04:40","date_gmt":"2023-09-05T14:04:40","guid":{"rendered":"https:\/\/carleton.ca\/math\/?p=23150"},"modified":"2023-09-05T10:07:01","modified_gmt":"2023-09-05T14:07:01","slug":"school-of-mathematics-and-statistics-colloquium","status":"publish","type":"post","link":"https:\/\/carleton.ca\/math\/2023\/school-of-mathematics-and-statistics-colloquium\/","title":{"rendered":"COLLOQUIUM \u2013 School of Mathematics and Statistics, Carleton University"},"content":{"rendered":"<p>Title:\u00a0One component quantum mechanics and leakage free path<br \/>\nSpeaker: Prof. Lianao Wu,\u00a0Department of Physics, the Faculty of Science and Technology,\u00a0UPV-EHU in Leioa (<a href=\"https:\/\/can01.safelinks.protection.outlook.com\/?url=https%3A%2F%2Fwww.ikerbasque.net%2Fes%2Flianao-wu&amp;data=05%7C01%7CTracieGrisim%40cunet.carleton.ca%7Cbdef1e1eb553406bfd5908dbabbc4fa8%7C6ad91895de06485ebc51fce126cc8530%7C0%7C0%7C638292597507681512%7CUnknown%7CTWFpbGZsb3d8eyJWIjoiMC4wLjAwMDAiLCJQIjoiV2luMzIiLCJBTiI6Ik1haWwiLCJXVCI6Mn0%3D%7C3000%7C%7C%7C&amp;sdata=x6NNMbyFp6ExkxhWf4kmKyFVrpoujrg1r42kkuyvYNA%3D&amp;reserved=0\">https:\/\/www.ikerbasque.net\/es\/lianao-wu<\/a>)<br \/>\nLocation<strong>:<\/strong>\u00a0HP 4351 (MacPhail Room)<br \/>\nDate: Friday, Sept 8, 2023<strong>\u00a0<\/strong><br \/>\nTime: 3:30 \u2013 4:30 pm (Coffee starts at 3 pm in the adjacent board room)<\/p>\n<p><strong>Abstract:\u00a0 <\/strong>We use a \u00a0Feshbach P-Q partitioning technique to derive a closed one- component integro-differential equation. The resultant equation\u00a0properly traces the footprint of the target state in quantum control theory. The physical significance of the derived dynamical equation is\u00a0illustrated by both general analysis and concrete examples. \u00a0Leakage from an encoded subspace to the rest of the system space is a\u00a0particularly serious problem for which leakage elimination operators (LEOs) were introduced. By using the resultant dynamical equation, we\u00a0show that the effectiveness of LEOs depends on the integral of the pulse sequence in the time domain, which has been missing because of\u00a0the idealization of pulse sequences. Our results are applied to a three- level system for the nitrogen-vacancy centers under an external\u00a0magnetic field and are illustrated by the fidelity dynamics of LEO sequences, ranging from regular rectangular pulses, random pulses, and\u00a0even disordered (noisy) pulses.<\/p>\n<p><\/p>\n<p>Please contact<strong> Prof. Yiqiang Zhao<\/strong> (<a href=\"&#x6d;a&#x69;&#108;&#x74;&#111;&#x3a;&#x7a;h&#x61;&#111;&#x40;&#109;&#x61;&#116;h&#x2e;&#99;&#x61;&#114;&#x6c;&#101;t&#x6f;&#110;&#x2e;&#99;&#x61;\">&#122;h&#x61;o&#x40;m&#x61;&#116;&#x68;&#46;&#x63;&#97;r&#x6c;e&#x74;o&#x6e;&#46;&#x63;&#97;<\/a>) if you would like to set up an individual meeting with the speaker.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Title:\u00a0One component quantum mechanics and leakage free path Speaker: Prof. Lianao Wu,\u00a0Department of Physics, the Faculty of Science and Technology,\u00a0UPV-EHU in Leioa (https:\/\/www.ikerbasque.net\/es\/lianao-wu) Location:\u00a0HP 4351 (MacPhail Room) Date: Friday, Sept 8, 2023\u00a0 Time: 3:30 \u2013 4:30 pm (Coffee starts at 3 pm in the adjacent board room) Abstract:\u00a0 We use a \u00a0Feshbach P-Q partitioning technique [&hellip;]<\/p>\n","protected":false},"author":44,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_relevanssi_hide_post":"","_relevanssi_hide_content":"","_relevanssi_pin_for_all":"","_relevanssi_pin_keywords":"","_relevanssi_unpin_keywords":"","_relevanssi_related_keywords":"","_relevanssi_related_include_ids":"","_relevanssi_related_exclude_ids":"","_relevanssi_related_no_append":"","_relevanssi_related_not_related":"","_relevanssi_related_posts":"","_relevanssi_noindex_reason":"","_mi_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":"","_links_to":"","_links_to_target":""},"categories":[14,1],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.2 - 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