論文

査読有り
2018年3月26日

Entanglement of purification through holographic duality

Nature Physics
  • Koji Umemoto
  • ,
  • Tadashi Takayanagi

14
6
開始ページ
1
終了ページ
5
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1038/s41567-018-0075-2
出版者・発行元
Nature Publishing Group

The gauge/gravity correspondence discovered two decades ago has had a profound influence on how the basic laws in physics should be formulated. In spite of the predictive power of holographic approaches (for example, when they are applied to strongly coupled condensed-matter physics problems), the fundamental reasons behind their success remain unclear. Recently, the role of quantum entanglement has come to the fore. Here we explore a quantity that connects gravity and quantum information in the light of the gauge/gravity correspondence. This is given by the minimal cross-section of the entanglement wedge that connects two disjoint subsystems in a gravity dual. In particular, we focus on various inequalities that are satisfied by this quantity. They suggest that it is a holographic counterpart of the quantity called entanglement of purification, which measures a bipartite correlation in a given mixed state. We give a heuristic argument that supports this identification based on a tensor network interpretation of holography. This predicts that the entanglement of purification satisfies the strong superadditivity for holographic conformal field theories.

リンク情報
DOI
https://doi.org/10.1038/s41567-018-0075-2
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000434093800021&DestApp=WOS_CPL
ID情報
  • DOI : 10.1038/s41567-018-0075-2
  • ISSN : 1745-2481
  • ISSN : 1745-2473
  • eISSN : 1745-2481
  • SCOPUS ID : 85044456974
  • Web of Science ID : WOS:000434093800021

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