{"id":6761,"date":"2023-02-20T20:27:27","date_gmt":"2023-02-20T20:27:27","guid":{"rendered":"https:\/\/research.kent.ac.uk\/pqm\/?p=6761"},"modified":"2023-11-07T12:34:26","modified_gmt":"2023-11-07T12:34:26","slug":"two-theorems-on-quantum-tomography-and-the-neutron-inverse-problem","status":"publish","type":"post","link":"https:\/\/research.kent.ac.uk\/pqm\/2023\/02\/20\/two-theorems-on-quantum-tomography-and-the-neutron-inverse-problem\/","title":{"rendered":"Two theorems on quantum tomography and the neutron inverse problem"},"content":{"rendered":"<p>Theory Discussion, University of St Andrews, 20 February 2023.<\/p>\n<p>Abstract:<\/p>\n<p>&#8220;Neutron scattering has been one of the work horses of experimental materials research for<br \/>\ndecades. However, it has been a long-held belief in the condensed-matter physics community<br \/>\nthat neutron scattering can only yield incomplete information about the state of the system under<br \/>\ninvestigation. This is sometimes referred to as the &#8216;phase problem&#8217; of neutron scattering: the fact<br \/>\nthat a neutron-scattering cross-section is more like a photograph than a hologram. I will describe<br \/>\nand prove two theorems that suggest the situation may not be quite as bed in the case of a<br \/>\nbroad class of quantum magnets. In fact, I shall argue that for such systems the diffuse<br \/>\nmagnetic neutron scattering function can be used to completely determine the wave function<br \/>\nand the Hamiltonian. I will discuss the reasons for this as well as the limitations and speculate<br \/>\non the ways this could change how we practice neutron scattering. I will also place these results<br \/>\nin the wider context of research into quantum information\/quantum technology.&#8221;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Theory Discussion, University of St Andrews, 20 February 2023. Abstract: &#8220;Neutron scattering has been one of the work horses of experimental materials research for decades. However, it has been a long-held belief in the condensed-matter physics community that neutron scattering can only yield incomplete information about the state of the system under investigation. This is [&hellip;]<\/p>\n","protected":false},"author":134,"featured_media":5515,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[647],"tags":[659,783],"class_list":["post-6761","post","type-post","status-publish","format-standard","hentry","category-talks","tag-neutron-scattering","tag-quantum-computers"],"acf":[],"_links":{"self":[{"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/posts\/6761","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/users\/134"}],"replies":[{"embeddable":true,"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/comments?post=6761"}],"version-history":[{"count":2,"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/posts\/6761\/revisions"}],"predecessor-version":[{"id":7390,"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/posts\/6761\/revisions\/7390"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/media\/5515"}],"wp:attachment":[{"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/media?parent=6761"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/categories?post=6761"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/research.kent.ac.uk\/pqm\/wp-json\/wp\/v2\/tags?post=6761"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}