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ファイル | 記述 | サイズ | フォーマット | |
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PhysRevD.103.026005.pdf | 2.06 MB | Adobe PDF | 見る/開く |
タイトル: | New holographic generalization of entanglement entropy |
著者: | Nakata, Yoshifumi https://orcid.org/0000-0003-1285-6968 (unconfirmed) Takayanagi, Tadashi https://orcid.org/0000-0001-7187-3130 (unconfirmed) Taki, Yusuke Tamaoka, Kotaro Wei, Zixia |
著者名の別形: | 中田, 芳史 髙柳, 匡 瀧, 祐介 玉岡, 幸太郎 魏, 子夏 |
キーワード: | Entanglement in field theory Gauge-gravity dualities Quantum entanglement Particles & Fields Quantum Information |
発行日: | Jan-2021 |
出版者: | American Physical Society (APS) |
誌名: | Physical Review D |
巻: | 103 |
号: | 2 |
論文番号: | 026005 |
抄録: | We introduce a new quantity, called pseudo-entropy, as a generalization of entanglement entropy via postselection. We expect this quantity to provide a new class of order parameters in quantum many-body systems. In the anti-de Sitter space (AdS)/conformal field theory (CFT) correspondence, this quantity is dual to areas of minimal area surfaces in time-dependent Euclidean spaces which are asymptotically AdS. We call this geometric computation of pseudo-entropy via the AdS/CFT the holographic pseudo-entropy. We study its basic properties and classifications in qubit systems. In specific examples, we provide a quantum information theoretic meaning of this new quantity as an averaged number of Bell pairs when the post-selection is performed. We also present properties of the pseudo-entropy for random states. We then calculate the pseudo-entropy in the presence of local operator excitations for both the two dimensional free massless scalar CFT and two dimensional holographic CFTs. We find a general property in CFTs that the pseudo-entropy is highly reduced when the local operators get closer to the boundary of the subsystem. We also compute the holographic pseudo-entropy for a Janus solution, dual to an exactly marginal perturbation of a two dimensional CFT and find its agreement with a perturbative calculation in the dual CFT. We show the linearity property holds for holographic states, where the holographic pseudo-entropy coincides with a weak value of the area operator. Finally, we propose a mixed state generalization of pseudo-entropy and give its gravity dual. |
著作権等: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3. |
URI: | http://hdl.handle.net/2433/274725 |
DOI(出版社版): | 10.1103/PhysRevD.103.026005 |
出現コレクション: | 学術雑誌掲載論文等 |
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