{"id":1007,"date":"2014-12-01T11:49:10","date_gmt":"2014-12-01T09:49:10","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/decoupling-using-random-diagonal-unitary-matrices\/"},"modified":"2014-12-01T11:49:10","modified_gmt":"2014-12-01T09:49:10","slug":"decoupling-using-random-diagonal-unitary-matrices","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/decoupling-using-random-diagonal-unitary-matrices\/","title":{"rendered":"Decoupling using random diagonal-unitary matrices"},"content":{"rendered":"<p><span>Decoupling a system from environment is one of the most important tasks in quantum information theory and is achievable using Haar random unitary matrices, a unitary 2-design, or random quantum circuits. In this talk, we show that decoupling is also achievable using two diagonal-unitary matrices, where their bases should be complementary each other such as the Pauli-Z and Pauli-X basis, although there is a penalty of using diagonal-unitaries instead of Haar random unitaries. We also present a criteria for the existence of diagonal-unitary matrices that lead to decoupling. Since experimental implementations of diagonal-unitary matrices are simpler and more robust than non-diagonal ones, this possibly provides a practical way of implementing the decoupling by current technology.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Decoupling a system from environment is one of the most important tasks in quantum information theory and is achievable using Haar random unitary matrices, a unitary 2-design, or random quantum circuits. In this talk, we show that decoupling is also achievable using two diagonal-unitary matrices, where their bases should be complementary each other such as [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1007","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1007","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=1007"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}