{"id":1128,"date":"2018-05-04T12:03:04","date_gmt":"2018-05-04T10:03:04","guid":{"rendered":"https:\/\/webs.uab.cat\/giq\/seminar\/extendibility-limits-the-performance-of-quantum-processors\/"},"modified":"2018-05-04T12:03:04","modified_gmt":"2018-05-04T10:03:04","slug":"extendibility-limits-the-performance-of-quantum-processors","status":"publish","type":"seminar","link":"https:\/\/webs.uab.cat\/giq\/seminar\/extendibility-limits-the-performance-of-quantum-processors\/","title":{"rendered":"Extendibility limits the performance of quantum processors"},"content":{"rendered":"<p><font color=\"#2d2d2d\" face=\"arial, helvetica, sans-serif\" size=\"2\">Resource theories in quantum information science are helpful for the study and quantification&nbsp;of the performance of information-processing tasks that involve quantum systems. These resource&nbsp;theories also find applications in the study of other areas; e.g., the resource theories of entanglement&nbsp;and coherence have found use and implications in the study of quantum thermodynamics and memory&nbsp;effects in quantum dynamics. In this paper, we introduce the resource theory of unextendibility,&nbsp;which is associated to the inability of extending quantum entanglement in a given quantum state&nbsp;to multiple parties. The free states in this resource theory are the k-extendible states, and the&nbsp;free channels are k-extendible channels, which preserve the class of k-extendible states. We make&nbsp;use of this resource theory to derive non-asymptotic, upper bounds on the rate at which quantum&nbsp;communication or entanglement preservation is possible by utilizing an arbitrary quantum channel&nbsp;a finite number of times, along with the assistance of k-extendible channels at no cost. We then&nbsp;show that the bounds we obtain are significantly tighter than previously known bounds for both the&nbsp;depolarizing and erasure channels.<\/font><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Resource theories in quantum information science are helpful for the study and quantification&nbsp;of the performance of information-processing tasks that involve quantum systems. These resource&nbsp;theories also find applications in the study of other areas; e.g., the resource theories of entanglement&nbsp;and coherence have found use and implications in the study of quantum thermodynamics and memory&nbsp;effects in quantum [&hellip;]<\/p>\n","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-1128","seminar","type-seminar","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/webs.uab.cat\/giq\/wp-json\/wp\/v2\/seminar\/1128","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=1128"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}