PIRSA:23050020 Scientific Series Quantum Information

DOI10.48660/23050020

Series: Perimeter Institute Quantum Discussions

Masanes, L. (2023). Discrete holography in dual-unitary circuits. Perimeter Institute. https://pirsa.org/23050020

Masanes, Lluis. Discrete holography in dual-unitary circuits. Perimeter Institute, May. 03, 2023, https://pirsa.org/23050020 

@misc{ pirsa_PIRSA:23050020,
  doi = {10.48660/23050020},
  url = {https://pirsa.org/23050020},
  author = {Masanes, Lluis},
  keywords = {Quantum Information},
  language = {en},
  title = {Discrete holography in dual-unitary circuits},
  publisher = {Perimeter Institute},
  year = {2023},
  month = {may},
  note = {PIRSA:23050020 see, \url{https://pirsa.org}}
}

Abstract

I will introduce a family of dual-unitary circuits in 1+1 dimensions which are invariant under the joint action of Lorentz and scale transformations. With the same dual unitaries I will construct tensor-network states for this 1+1 model and interpret them as spatial slices of curved 2+1 discrete geometries. These tensor-network states satisfy the Ryu-Takayanagi conjecture outside event horizons, but the geometry of the network is also well defined inside the horizon. The dynamics of the circuit induces a natural dynamics on these geometries which reproduces GR phenomena like the gravitational redshift, the formation of black holes and the growth of their throat.

Zoom link:  https://pitp.zoom.us/j/92034586204?pwd=eEo0NzVjeFkxWVJnY0hjOUhodXNWdz09

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