PIRSA:16100037

Complexity and Holographic Fluctuations

Chemissany, W. (2016). Complexity and Holographic Fluctuations. Perimeter Institute. https://pirsa.org/16100037

Chemissany, Wissam. Complexity and Holographic Fluctuations. Perimeter Institute, Oct. 04, 2016, https://pirsa.org/16100037 

          @misc{ pirsa_PIRSA:16100037,
            doi = {10.48660/16100037},
            url = {https://pirsa.org/16100037},
            author = {Chemissany, Wissam},
            keywords = {Other},
            language = {en},
            title = {Complexity and Holographic Fluctuations},
            publisher = {Perimeter Institute},
            year = {2016},
            month = {oct},
            note = {PIRSA:16100037 see, \url{https://pirsa.org}}
          }

Wissam Chemissany

Leibniz University Hannover

Talk number
PIRSA:16100037
Collection
Talk Type
Subject
Abstract

I discuss, from a quantum information perspective, recent proposals of Maldacena, Ryu, Takayanagi, van Raamsdonk, Swingle, and Susskind that spacetime is an emergent property of the quantum entanglement of an associated boundary quantum system. I review the idea that the informational principle of minimal complexity determines a dual holographic bulk spacetime from a minimal quantum circuit U preparing a given boundary state from a trivial reference state. I describe how this idea may be extended to determine the relationship between the fluctuations of the bulk holographic geometry and the fluctuations of the boundary low-energy subspace. In this way we obtain, for every quantum system, an Einstein-like equation of motion for what might be interpreted as a bulk gravity theory dual to the boundary system. If time permits I will comment on the link to Brownian quantum circuits and tensor networks.