Holographic mapping, quantum error correction code and sub-AdS locality

          @misc{ scivideos_PIRSA:15080064,
            doi = {10.48660/15080064},
            url = {https://pirsa.org/15080064},
            author = {Qi, Xiaoliang},
            keywords = {Quantum Fields and Strings, Quantum Gravity, Quantum Information},
            language = {en},
            title = {Holographic mapping, quantum error correction code and sub-AdS locality},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2015},
            month = {aug},
            note = {PIRSA:15080064 see, \url{https://scivideos.org/pirsa/15080064}}
          }
          

Abstract

In recent years, tensor networks have been proposed as a useful framework for understanding holographic duality, especially the relation between quantum entanglement and space-time geometry. Most tensor networks studied so far are defined in the large scale compared with AdS radius. In this talk, I will describe a new tensor network approach which defines a holographic mapping that applies to a refined network with sub-AdS scale resolution, or even to a flat space. The idea of quantum error correction code plays an essential role in this approach. Using this new tensor network, we can study features of the bulk theory, such as how locality at sub-AdS scale emerges in a "low energy subspace" even though the whole theory is intrinsically nonlocal, as a quantum gravity theory should be.