{"id":1023,"date":"2015-04-09T16:15:28","date_gmt":"2015-04-09T14:15:28","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/polar-codes-quantum-information-theory\/"},"modified":"2015-04-09T16:15:28","modified_gmt":"2015-04-09T14:15:28","slug":"polar-codes-quantum-information-theory","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/polar-codes-quantum-information-theory\/","title":{"rendered":"Polar codes in quantum information theory"},"content":{"rendered":"<p><span>Polar codes are the first capacity achieving and efficiently<\/span><br \/><span>implementable codes for classical communication. Recently they have also<\/span><br \/><span>been generalized to communication over classical-quantum and quantum<\/span><br \/><span>channels. In this work we present our recent results for polar coding in<\/span><br \/><span>quantum information theory, including applications to classical-quantum<\/span><br \/><span>multiple access channels, interference channels and compound<\/span><br \/><span>communication settings, including the first proof of channel coding<\/span><br \/><span>achieving the Han-Kobayashi rate region of the interference channel<\/span><br \/><span>without the need of a simultaneous decoder.<\/span><br \/><span>Moreover we add to the existing framework by extending polar codes to<\/span><br \/><span>achieve the asymmetric capacity and improving the block error<\/span><br \/><span>probability for classical-quantum channels. In addition we use polar<\/span><br \/><span>codes to prove a new achievable rate region for the classical-quantum<\/span><br \/><span>broadcast channel.<\/span><br \/><span>We conclude by stating a list of interesting open questions to invite<\/span><br \/><span>further research on the topic.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Polar codes are the first capacity achieving and efficientlyimplementable codes for classical communication. Recently they have alsobeen generalized to communication over classical-quantum and quantumchannels. In this work we present our recent results for polar coding inquantum information theory, including applications to classical-quantummultiple access channels, interference channels and compoundcommunication settings, including the first proof of channel [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1023","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1023","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=1023"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}