4.8 Article

Holographic Entanglement of Purification from Conformal Field Theories

Journal

PHYSICAL REVIEW LETTERS
Volume 122, Issue 11, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.122.111601

Keywords

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Funding

  1. JSPS fellowships
  2. Simons Foundation
  3. JSPS [17H06787, 16J08909, 16H02182, 18K18766, 18J2288 8]
  4. World Premier International Research Center Initiative (WPI Initiative) from the Japan Ministry of Education, Culture, Sports, Science and Technology (MEXT)
  5. Grants-in-Aid for Scientific Research [17H06787, 16J08909] Funding Source: KAKEN

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We explore a conformal field theoretic interpretation of the holographic entanglement of purification, which is defined as the minimal area of the entanglement wedge cross section. We argue that, in AdS(3)/CFT2, the holographic entanglement of purification agrees with the entanglement entropy for a purified state, obtained from a special Weyl transformation, called path-integral optimizations. By definition, this special purified state has minimal path-integral complexity. We confirm this claim in several examples.

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