Entanglement Wedges from the Information Metric in Conformal Field Theories

23Citations
Citations of this article
23Readers
Mendeley users who have this article in their library.

Abstract

We present a new method of deriving the geometry of entanglement wedges in holography directly from conformal field theories (CFTs). We analyze an information metric called the Bures metric of reduced density matrices for locally excited states. This measures the distinguishability of states with different points excited. For a subsystem given by an interval, we precisely reproduce the expected entanglement wedge for two-dimensional holographic CFTs from the Bures metric, which turns out to be proportional to the anti-de Sitter metric on a time slice. On the other hand, for free scalar CFTs, we do not find any sharp structures like entanglement wedges. When a subsystem consists of two disconnected intervals, we manage to reproduce the expected entanglement wedge from holographic CFTs with the correct phase transitions, up to a very small error, from a quantity alternative to the Bures metric.

Cite

CITATION STYLE

APA

Suzuki, Y., Takayanagi, T., & Umemoto, K. (2019). Entanglement Wedges from the Information Metric in Conformal Field Theories. Physical Review Letters, 123(22). https://doi.org/10.1103/PhysRevLett.123.221601

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free