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arXiv · 1812.05268

Holographic Entanglement of Purification from Conformal Field Theories

Pawel Caputa·Masamichi Miyaji·Tadashi Takayanagi·Koji Umemoto
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Abstract

We explore a conformal field theoretic interpretation of the holographic entanglement of purification, which is defined as the minimal area of 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 the minimal path-integral complexity. We confirm this claim in several examples.

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Pawel Caputa, Masamichi Miyaji, Tadashi Takayanagi, Koji Umemoto. 2018-12-13. Holographic Entanglement of Purification from Conformal Field Theories. https://doi.org/10.1103/physrevlett.122.111601

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