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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

Bao, Ning, and Chatwin-Davies, Aidan. Puzzles and pitfalls involving Haar-typicality in holography. Country unknown/Code not available: N. p., Web. doi:10.21468/SciPostPhys.4.6.033.
Bao, Ning, & Chatwin-Davies, Aidan. Puzzles and pitfalls involving Haar-typicality in holography. Country unknown/Code not available. doi:10.21468/SciPostPhys.4.6.033.
Bao, Ning, and Chatwin-Davies, Aidan. 2018. "Puzzles and pitfalls involving Haar-typicality in holography". Country unknown/Code not available. doi:10.21468/SciPostPhys.4.6.033.
@article{osti_1454886,
title = {Puzzles and pitfalls involving Haar-typicality in holography},
author = {Bao, Ning and Chatwin-Davies, Aidan},
abstractNote = {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.},
doi = {10.21468/SciPostPhys.4.6.033},
journal = {SciPost Physics},
number = 6,
volume = 4,
place = {Country unknown/Code not available},
year = {2018},
month = {6}
}