2018/12/13 by Pawel Caputa, Paweł Caputa, Masamichi Miyaji +2 · 84 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Entropy (arrow of time) #Geometry #Holography #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Optics #Path integral formulation #Physics #Quantum #Quantum entanglement #Quantum mechanics #Squashed entanglement #Theoretical physics #Transformation (genetics) #Wedge (geometry) #Weyl transformation #cond-mat.stat-mech #hep-th #quant-ph
paper · pdf · doi:10.1103/physrevlett.122.111601
published in Physical Review Letters 122(11), 111601 (American Physical Society) · 7 pages, Revtex, 5 figures
arxiv created 2018/12/13 · openalex publication_date 2019/03/21 · arxiv updated 2019/03/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 AdS3/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.