# Entanglement Wedge Reconstruction in Infinite dimensional Hilbert spaces with Tensor Networks

Tuesday, November 26, 2019

3:00 PM - 4:00 PM

Location: Annenberg 107

Monica Jinwoo Kang, Postdoctoral Scholar, Caltech

**Abstract**: In order to satisfy Reeh-Schlieder theorem, I study the infinite-dimensional Hilbert spaces using von Neumann algebras. I will first present the theorem that the entanglement wedge reconstruction and the equivalence of relative entropies between the boundary and the bulk (JLMS) are exactly identical. Then I will demonstrate the entanglement wedge reconstruction with a tensor network model of von Neumann algebra with type II1 factor, which guarantees the equivalence between the boundary and the bulk. I will discuss its applications to quantum gravity if time permits.

**Series:**Institute for Quantum Information (IQI) Weekly Seminar Series

For more information, please email bjleung@caltech.edu