PIRSA:14120054

Tomography from Entanglement

Lin, J. (2014). Tomography from Entanglement. Perimeter Institute. https://pirsa.org/14120054

Lin, Jennifer. Tomography from Entanglement. Perimeter Institute, Dec. 18, 2014, https://pirsa.org/14120054 

          @misc{ pirsa_PIRSA:14120054,
            doi = {10.48660/14120054},
            url = {https://pirsa.org/14120054},
            author = {Lin, Jennifer},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Tomography from Entanglement},
            publisher = {Perimeter Institute},
            year = {2014},
            month = {dec},
            note = {PIRSA:14120054 see, \url{https://pirsa.org}}
          }

Jennifer Lin

University of Oxford

Talk number
PIRSA:14120054
Collection
Talk Type
Subject
Abstract

The Ryu-Takayanagi formula relates the entanglement entropy in a conformal field theory to the area of a minimal surface in its holographic dual. I will show that this relation can be inverted to reconstruct the bulk stress-energy tensor near the boundary of the bulk spacetime, from the entanglement on the boundary. I will also show that the positivity and monotonicity of the relative entropy for small spherical domains between the reduced density matrices of an excited state and of the ground state of the CFT, translate to energy conditions in the bulk.