Holographic Entanglement of Purification
High Energy Physics - Theory
2018-12-17 v2 Strongly Correlated Electrons
Quantum Physics
Abstract
We study properties of the minimal cross section of entanglement wedge which connects two disconnected subsystems in holography. In particular we focus on various inequalities which 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 which supports this identification based on a tensor network interpretation of holography. This implies that the entanglement of purification satisfies the strong superadditivity for holographic conformal field theories.
Keywords
Cite
@article{arxiv.1708.09393,
title = {Holographic Entanglement of Purification},
author = {Tadashi Takayanagi and Koji Umemoto},
journal= {arXiv preprint arXiv:1708.09393},
year = {2018}
}
Comments
Revtex, 6 pages + appendices. v2: comments and references added, minor corrections