PIRSA:17080015

Video URL

https://pirsa.org/17080015

Time Evolution of Complexity in Abelian Gauge Theories - And Playing Quantum Othello Game

Hashimoto, K. (2017). Time Evolution of Complexity in Abelian Gauge Theories - And Playing Quantum Othello Game . Perimeter Institute for Theoretical Physics. https://pirsa.org/17080015

Hashimoto, Koji. Time Evolution of Complexity in Abelian Gauge Theories - And Playing Quantum Othello Game . Perimeter Institute for Theoretical Physics, Aug. 11, 2017, https://pirsa.org/17080015 

          @misc{ scivideos_PIRSA:17080015,
            doi = {10.48660/17080015},
            url = {https://pirsa.org/17080015},
            author = {Hashimoto, Koji},
            keywords = {Other Physics},
            language = {en},
            title = {Time Evolution of Complexity in Abelian Gauge Theories - And Playing Quantum Othello Game },
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {aug},
            note = {PIRSA:17080015 see, \url{https://scivideos.org/pirsa/17080015}}
          }

Koji Hashimoto Osaka University - Department of Physics

Talk numberPIRSA:17080015
DOI10.48660/17080015
Source RepositoryPIRSA
Collection
Talk Type Scientific Series
Subject

Abstract

Quantum complexity is conjectured to probe inside of black hole horizons (or wormhole) via gauge gravity correspondence. In order to have a better understanding of this correspondence, we study time evolutions of complexities for generic Abelian pure gauge theories. For this purpose, we discretize U(1) gauge group as Z_N and also continuum spacetime as lattice spacetime, and this enables us to define a universal gate set for these gauge theories, and evaluate time evolutions of the complexities explicitly. We find that to achieve a large complexity ∼exp(entropy), which is one of the conjectured criteria necessary to have a dual  black hole, the Abelian gauge theory needs to be maximally nonlocal. (Based on collaboration with Norihiro Iizuka and Sotaro Sugishita, https://arxiv.org/abs/1707.03840)