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Title: Puzzles and pitfalls involving Haar-typicality in holography

Holographic states that have a well-defined geometric dual in AdS/CFT are not faithfully represented by Haar-typical states in finite-dimensional models. As such, trying to apply principles and lessons from Haar-random ensembles of states to holographic states can lead to apparent puzzles and contradictions. We point out a handful of these pitfalls.
Authors:
 [1] ; ORCiD logo [2]
  1. California Institute of Technology, University of California, Berkeley
  2. California Institute of Technology
Publication Date:
Grant/Contract Number:
SC0011632
Type:
Published Article
Journal Name:
SciPost Physics
Additional Journal Information:
Journal Name: SciPost Physics Journal Volume: 4 Journal Issue: 6; Journal ID: ISSN 2542-4653
Publisher:
Stichting SciPost
Sponsoring Org:
USDOE
Country of Publication:
Country unknown/Code not available
Language:
English
OSTI Identifier:
1454886