Geometry of Entanglement
High Energy Physics - Theory
2020-09-09 v2 Quantum Physics
Abstract
In the context of the surface-state correspondence we propose the geodesic curvature of a convex curve as a local measure of factorization of the dual CFT state. Its integral will be interpreted as computing the bipartite entanglement among degrees of freedom with support on the chosen domain. We will derive results through application of the Gauss-Bonnet theorem and show quantitative agreement with computations using the MERA tensor network and the formalism of entanglement density.
Cite
@article{arxiv.1907.06238,
title = {Geometry of Entanglement},
author = {Andrea Prudenziati},
journal= {arXiv preprint arXiv:1907.06238},
year = {2020}
}
Comments
Some additional clarifications and examples added. A factor of 2 corrected from some formulas