{"id":1057,"date":"2016-02-19T14:15:24","date_gmt":"2016-02-19T12:15:24","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/heisenberg-weyl-basis-observables-and-their-application-entanglement-detection\/"},"modified":"2016-02-19T14:15:24","modified_gmt":"2016-02-19T12:15:24","slug":"heisenberg-weyl-basis-observables-and-their-application-entanglement-detection","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/heisenberg-weyl-basis-observables-and-their-application-entanglement-detection\/","title":{"rendered":"Heisenberg-Weyl basis observables and their application in entanglement detection"},"content":{"rendered":"<div align=\"left\"><span style=\"color: #000000; font-family: 'Times New Roman';\">Bloch vectors provide a very useful geometrical representation of quantum states for characterizing their properties. We establish a new basis of observables constructed by a suitable combination of the non-Hermitian generalization of the Pauli matrices, the Heisenberg-Weyl operators. This allows us to identify a (Hermitian) Bloch representation for an arbitrary density operator of finite, as well as infinite dimensional systems in terms of complete set of Heisenberg-Weyl observables. Compared to the canonical basis of Generalized Gell-Mann operators, the Heisenberg-Weyl based observables exhibit a number of advantageous properties which we highlight in the context of entanglement detection.<\/span><\/div>\n<p><span style=\"color: #000000; font-family: 'Times New Roman';\">&nbsp;<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bloch vectors provide a very useful geometrical representation of quantum states for characterizing their properties. We establish a new basis of observables constructed by a suitable combination of the non-Hermitian generalization of the Pauli matrices, the Heisenberg-Weyl operators. This allows us to identify a (Hermitian) Bloch representation for an arbitrary density operator of finite, as [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1057","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1057","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=1057"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}