{"id":1207,"date":"2020-10-20T17:41:13","date_gmt":"2020-10-20T15:41:13","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/general-mixed-state-quantum-data-compression-with-and-without-entanglement-assistance\/"},"modified":"2020-10-20T17:41:13","modified_gmt":"2020-10-20T15:41:13","slug":"general-mixed-state-quantum-data-compression-with-and-without-entanglement-assistance","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/general-mixed-state-quantum-data-compression-with-and-without-entanglement-assistance\/","title":{"rendered":"General Mixed State Quantum Data Compression with and without  Entanglement Assistance"},"content":{"rendered":"<pre>\r\nWe consider the most general (finite-dimensional) quantum mechanical information source, which is given by a quantum system <\/pre>\n<pre>\r\n$A$ that is correlated with a reference system $R$. The task is to compress $A$ in such a way as to reproduce the joint source state <\/pre>\n<pre>\r\n$\\rho^{AR}$ at the decoder with asymptotically high fidelity. This includes Schumacher's original quantum source coding problem of a <\/pre>\n<pre>\r\npure state ensemble and that of a single pure entangled state, as well as general mixed state ensembles. <\/pre>\n<pre>\r\nHere, we determine the optimal compression rate (in qubits per source system) in terms of the Koashi-Imoto decomposition of the <\/pre>\n<pre>\r\nsource into a classical, a quantum, and a redundant part. The same decomposition yields the optimal rate in the presence of unlimited <\/pre>\n<pre>\r\nentanglement between compressor and decoder, and indeed the full region of feasible qubit-ebit rate pairs.<\/pre>\n","protected":false},"excerpt":{"rendered":"<p>We consider the most general (finite-dimensional) quantum mechanical information source, which is given by a quantum system $A$ that is correlated with a reference system $R$. The task is to compress $A$ in such a way as to reproduce the joint source state $\\rho^{AR}$ at the decoder with asymptotically high fidelity. This includes Schumacher&#8217;s original [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1207","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1207","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=1207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}