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Towards an entanglement measure for mixed states in CFTs based on relative entropy
https://oist.repo.nii.ac.jp/records/954
https://oist.repo.nii.ac.jp/records/954e1cf4f1f-c75f-4555-9ec0-0ddb2be9b666
名前 / ファイル | ライセンス | アクション |
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Takayanagi-2018-Towards an entanglement measur (743.7 kB)
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Creative Commons
Attribution 4.0 International (https://creativecommons.org/licenses/by/4.0/) |
Item type | 学術雑誌論文 / Journal Article(1) | |||||
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公開日 | 2019-06-19 | |||||
タイトル | ||||||
言語 | en | |||||
タイトル | Towards an entanglement measure for mixed states in CFTs based on relative entropy | |||||
言語 | ||||||
言語 | eng | |||||
資源タイプ | ||||||
資源タイプ識別子 | http://purl.org/coar/resource_type/c_6501 | |||||
資源タイプ | journal article | |||||
著者(英) |
Takayanagi, Tadashi
× Takayanagi, Tadashi× Ugajin, Tomonori× Umemoto, Koji |
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書誌情報 |
en : Journal of High Energy Physics 巻 2018, 号 10, p. 166, 発行日 2018-10-26 |
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抄録 | ||||||
内容記述タイプ | Other | |||||
内容記述 | 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. | |||||
出版者 | ||||||
出版者 | Springer Berlin Heidelberg | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1029-8479 | |||||
ISSN | ||||||
収録物識別子タイプ | ISSN | |||||
収録物識別子 | 1126-6708 | |||||
DOI | ||||||
関連タイプ | isIdenticalTo | |||||
識別子タイプ | DOI | |||||
関連識別子 | info:doi/10.1007/JHEP10(2018)166 | |||||
権利 | ||||||
権利情報 | © 2018 The Author(s). | |||||
情報源 | ||||||
関連名称 | https://creativecommons.org/licenses/by/4.0/ | |||||
関連サイト | ||||||
識別子タイプ | URI | |||||
関連識別子 | https://link.springer.com/article/10.1007/JHEP10%282018%29166 | |||||
著者版フラグ | ||||||
出版タイプ | VoR | |||||
出版タイプResource | http://purl.org/coar/version/c_970fb48d4fbd8a85 |