Entanglement Wedge Cross Section from the Dual Density Matrix
High Energy Physics - Theory
2019-04-12 v2 Strongly Correlated Electrons
Quantum Physics
Abstract
We define a new information theoretic quantity called odd entanglement entropy (OEE) which enables us to compute the entanglement wedge cross section in holographic CFTs. The entanglement wedge cross section has been introduced as a minimal cross section of the entanglement wedge, a natural generalization of the Ryu-Takayanagi surface. By using the replica trick, we explicitly compute the OEE for two-dimensional holographic CFT (AdS and planar BTZ blackhole) and see agreement with the entanglement wedge cross section. We conjecture this relation will hold in general dimensions.
Cite
@article{arxiv.1809.09109,
title = {Entanglement Wedge Cross Section from the Dual Density Matrix},
author = {Kotaro Tamaoka},
journal= {arXiv preprint arXiv:1809.09109},
year = {2019}
}
Comments
6 pages, Revtex, 2 figures. v2: shorter version for Physical Review Letters