{"id":1208,"date":"2020-10-20T17:46:09","date_gmt":"2020-10-20T15:46:09","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/quantum-state-redistribution-for-ensemble-sources\/"},"modified":"2020-10-20T17:46:09","modified_gmt":"2020-10-20T15:46:09","slug":"quantum-state-redistribution-for-ensemble-sources","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/quantum-state-redistribution-for-ensemble-sources\/","title":{"rendered":"Quantum State Redistribution for Ensemble Sources"},"content":{"rendered":"<pre>\r\nWe consider a generalization of the quantum state redistribution task, where pure multipartite states from an ensemble source are distributed among <\/pre>\n<pre>\r\nan encoder, a decoder and a reference system. The encoder, Alice, has access to two quantum systems: system $A$ which she compresses and sends to the decoder, <\/pre>\n<pre>\r\nBob, and the side information system $C$ which she wants to keep at her site. Bob has access to quantum side information in a system $B$, wants to decode <\/pre>\n<pre>\r\nthe compressed information in such a way to preserve the correlations with the reference system on average. <\/pre>\n<pre>\r\n\r\n&nbsp;<\/pre>\n<pre>\r\nAs figures of merit, we consider both block error (which is the usual one in source coding) and per-copy error (which is more akin to rate-distortion theory), <\/pre>\n<pre>\r\nand find the optimal compression rate for the second criterion, and achievable and converse bounds for the first. The latter almost match in general, up to an <\/pre>\n<pre>\r\nasymptotic error and an unbounded auxiliary system; for so-called irreducible sources they are provably the same.<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>We consider a generalization of the quantum state redistribution task, where pure multipartite states from an ensemble source are distributed among an encoder, a decoder and a reference system. The encoder, Alice, has access to two quantum systems: system $A$ which she compresses and sends to the decoder, Bob, and the side information system $C$ [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1208","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1208","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=1208"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}