{"created":"2023-06-26T11:00:27.406588+00:00","id":954,"links":{},"metadata":{"_buckets":{"deposit":"7414747a-14ad-467a-b08d-d63cdcf07ea1"},"_deposit":{"created_by":28,"id":"954","owners":[28],"pid":{"revision_id":0,"type":"depid","value":"954"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00000954","sets":["6:170"]},"author_link":["5246","5245","5244"],"item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2018-10-26","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"10","bibliographicPageStart":"166","bibliographicVolumeNumber":"2018","bibliographic_titles":[{},{"bibliographic_title":"Journal of High Energy Physics","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Takayanagi, Tadashi"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Ugajin, Tomonori"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Umemoto, Koji"}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"Relative entropy of entanglement (REE) is an entanglement measure of bipartite mixed states, defined by the minimum of the relative entropy S((AB) ||sigma(AB) ) between a given mixed state (AB) and an arbitrary separable state sigma(AB) . The REE is always bounded by the mutual information I-AB = S((AB) ||(A) circle times (B)) because the latter measures not only quantum entanglement but also classical correlations. In this paper we address the question of to what extent REE can be small compared to the mutual information in conformal field theories (CFTs). For this purpose, we perturbatively compute the relative entropy between the vacuum reduced density matrix AB0 on disjoint subsystems A B and arbitrarily separable state sigma(AB) in the limit where two subsystems A and B are well separated, then minimize the relative entropy with respect to the separable states. We argue that the result highly depends on the spectrum of CFT on the subsystems. When we have a few low energy spectrum of operators as in the case where the subsystems consist of finite number of spins in spin chain models, the REE is considerably smaller than the mutual information. However in general our perturbative scheme breaks down, and the REE can be as large as the mutual information.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Springer Berlin Heidelberg"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1007/JHEP10(2018)166","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_16":{"attribute_name":"情報源","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://creativecommons.org/licenses/by/4.0/"}]}]},"item_10001_relation_17":{"attribute_name":"Related site","attribute_value_mlt":[{"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://link.springer.com/article/10.1007/JHEP10%282018%29166","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2018 The Author(s)."}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1029-8479","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"1126-6708","subitem_source_identifier_type":"ISSN"}]},"item_10001_version_type_20":{"attribute_name":"Author's flag","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_970fb48d4fbd8a85","subitem_version_type":"VoR"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2019-06-19"}],"displaytype":"detail","filename":"Takayanagi-2018-Towards an entanglement measur.pdf","filesize":[{"value":"743.7 kB"}],"format":"application/pdf","license_note":"Creative Commons​\nAttribution 4.0 International​\n(https://creativecommons.org/licenses/by/4.0/)","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"Takayanagi-2018-Towards an entanglement measur","url":"https://oist.repo.nii.ac.jp/record/954/files/Takayanagi-2018-Towards an entanglement measur.pdf"},"version_id":"adc680d6-27f0-4e31-90ee-3f40557cbc00"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Towards an entanglement measure for mixed states in CFTs based on relative entropy","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Towards an entanglement measure for mixed states in CFTs based on relative entropy","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"28","path":["170"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-06-19"},"publish_date":"2019-06-19","publish_status":"0","recid":"954","relation_version_is_last":true,"title":["Towards an entanglement measure for mixed states in CFTs based on relative entropy"],"weko_creator_id":"28","weko_shared_id":28},"updated":"2023-06-26T11:59:46.414996+00:00"}