Streaming link https://berkeley.zoom.us/j/370438207 
 
 
Abstract: In 2016 Harlow taught us that we can understand the Ryu-Takayanagi formula as a feature of quantum error correction. This explained how we should think about both the entanglement wedge and the area term in the formula. However, his analysis only applied in the special case of small code subspaces, in which the entanglement wedge is the same for all states. I’m going to tell you about my recent work with Geoff Penington, in which we generalize this story to arbitrarily large code subspaces. Moreover, we derive that the entanglement wedge should minimize the area plus entropy of bulk fields. This involves defining the entanglement wedge via a new kind of quantum error correcting code, reducing to Harlow’s in the appropriate special case. This also naturally leads to a precise quantum information theoretic definition of the area of bulk surfaces. Based on https://arxiv.org/abs/2109.14618.​