PIRSA:22110116 Scientific Series Quantum Gravity

DOI10.48660/22110116

Series: Quantum Gravity

Kar, A. (2022). Non-Isometric Quantum Error Correction in Gravity. Perimeter Institute. https://pirsa.org/22110116

Kar, Arjun. Non-Isometric Quantum Error Correction in Gravity. Perimeter Institute, Nov. 30, 2022, https://pirsa.org/22110116 

@misc{ pirsa_PIRSA:22110116,
  doi = {10.48660/22110116},
  url = {https://pirsa.org/22110116},
  author = {Kar, Arjun},
  keywords = {Quantum Gravity},
  language = {en},
  title = {Non-Isometric Quantum Error Correction in Gravity},
  publisher = {Perimeter Institute},
  year = {2022},
  month = {nov},
  note = {PIRSA:22110116 see, \url{https://pirsa.org}}
}

Abstract

In the holographic approach to quantum gravity, quantum information theory plays a fundamental role in understanding how semiclassical gravity emerges from the microscopic description.  The map (sometimes called the dictionary) between these two descriptions has the structure of a quantum error correcting code.  In the context of an evaporating black hole, this code can be arbitrarily far from an isometry.  Such codes are novel from a quantum information standpoint, and their properties are not yet well understood.  I will describe a simple toy model of an evaporating black hole which allows for an explicit construction of the dictionary using the Euclidean gravity path integral.  I will also describe the sense in which this dictionary is a non-isometric code, explain its basic properties, and comment on implications for semiclassical physics in the black hole interior.

Zoom link:  https://pitp.zoom.us/j/94869738394?pwd=dGNBWXpmTTZaRSs3c0NQUDA1UkZCZz09

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