Tomorrow Julia Karlen will tell us about her semester project with Jinzhao, entitled "Entropy and entanglement wedge reconstruction in holography". See below for the abstract. We start at 2pm on zoom: https://ethz.zoom.us/j/362994444.

Best,

Joe

Abstract:
Holography states that gravitational physics in the bulk can be equivalently described as an ordinary quantum theory on its boundary. We review some recent developments of the AdS/CFT correspondence in the semiclassical limit. We take a closer look at the derivation of the holographic entanglement entropies, using the gravitational replica method. With the cosmic brane prescription, we can deduce, that the refined Rényi entropy has an area law such as the Ryu-Takayanagi (RT) formula for the von Neumann entropy. A black hole in Jackiw–Teitelboim (JT) gravity is examined to elaborate the RT formula. AdS/CFT bears some mysterious features, which hint at a quantum error correction viewpoint, where the bulk information can be redundantly encoded into the boundary using error correcting codes. From this perspective, the equivalence of the RT formula, entanglement wedge reconstruction and the matching of the relative entropies in bulk and boundary can be demonstrated. Within the framework of universal recovery channels, exact and approximate entanglement wedge reconstruction are examined more carefully.