{"id":1133,"date":"2018-05-09T18:58:35","date_gmt":"2018-05-09T16:58:35","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/gaussian-quantum-resource-theories\/"},"modified":"2018-05-09T18:58:35","modified_gmt":"2018-05-09T16:58:35","slug":"gaussian-quantum-resource-theories","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/gaussian-quantum-resource-theories\/","title":{"rendered":"Gaussian quantum resource theories"},"content":{"rendered":"<p>We develop a general framework characterizing the structure and properties of quantum resource theories&nbsp;for continuous-variable Gaussian states and Gaussian operations,&nbsp;establishing methods for their description and&nbsp;quantification. We show in particular that, under a few intuitive and physically-motivated assumptions on the&nbsp;set of free states, no Gaussian&nbsp;quantum resource can be distilled with Gaussian free operations, even when an&nbsp;unlimited supply of the resource state is available. This places fundamental constraints on state&nbsp;transformations&nbsp;in all such Gaussian resource theories. Our methods rely on the definition of a general Gaussian resource&nbsp;quantifier whose value does not change when multiple copies are&nbsp;considered. We discuss in particular the&nbsp;applications to quantum entanglement, where we extend previously known results by showing that Gaussian&nbsp;entanglement cannot be distilled even&nbsp;with Gaussian operations preserving the positivity of the partial transpose,&nbsp;as well as to other Gaussian resources such as steering and optical non classicality.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>We develop a general framework characterizing the structure and properties of quantum resource theories&nbsp;for continuous-variable Gaussian states and Gaussian operations,&nbsp;establishing methods for their description and&nbsp;quantification. We show in particular that, under a few intuitive and physically-motivated assumptions on the&nbsp;set of free states, no Gaussian&nbsp;quantum resource can be distilled with Gaussian free operations, even when an&nbsp;unlimited [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1133","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1133","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=1133"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}