{"id":1118,"date":"2017-10-23T16:47:34","date_gmt":"2017-10-23T14:47:34","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/quantum-estimation-of-unknown-parameters\/"},"modified":"2017-10-23T16:47:34","modified_gmt":"2017-10-23T14:47:34","slug":"quantum-estimation-of-unknown-parameters","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/quantum-estimation-of-unknown-parameters\/","title":{"rendered":"Quantum estimation of unknown parameters"},"content":{"rendered":"<p>There seems to be a persistent problem in the field of Quantum Metrology: Quantum&nbsp;Fisher Information is well defined only for an infinite amount of resources, via an adaptive measurement scheme.&nbsp;We state a theoretical framework that avoids this issue, which is based on a&nbsp;Bayesian parameter estimation scheme. Although the Bayesian&nbsp;approach have already been made in the field, we introduced a modified bound which entails&nbsp;taking the maximization over all POVMs for the Van Trees Information&nbsp;instead of the Fisher Information (i.e. outside the Integral) because the parameter is a random variable.&nbsp;This modified bound beats the&nbsp;maximum likelihood method in a Bayesian Inference scheme for a specific example. Another important&nbsp;issue for Quantum Metrology is that the relevant bounds are normally hard to calculate. This is&nbsp;because this bounds normally requires a maximization over a complicated set (the POVM set). We&nbsp;addressed this problem also, with a general numerical method that is efficient. We present&nbsp;some analytical&nbsp;calculations for our modified bound.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>There seems to be a persistent problem in the field of Quantum Metrology: Quantum&nbsp;Fisher Information is well defined only for an infinite amount of resources, via an adaptive measurement scheme.&nbsp;We state a theoretical framework that avoids this issue, which is based on a&nbsp;Bayesian parameter estimation scheme. Although the Bayesian&nbsp;approach have already been made in the [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1118","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1118","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar"}],"about":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/types\/seminar"}],"author":[{"embeddable":true,"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/users\/20"}],"wp:attachment":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/media?parent=1118"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}