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Title: Puzzles and pitfalls involving Haar-typicality in holography

Abstract

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]
+ Show Author Affiliations
  1. California Institute of Technology, University of California, Berkeley
  2. California Institute of Technology
Publication Date:
Research Org.:
California Inst. of Technology (CalTech), Pasadena, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); National Science Foundation (NSF); Gordon and Betty Moore Foundation
OSTI Identifier:
1454886
Alternate Identifier(s):
OSTI ID: 1597657
Grant/Contract Number:  
[SC0011632; PHY-1125565; GBMF-12500028; 776]
Resource Type:
Published Article
Journal Name:
SciPost Physics Proceedings
Additional Journal Information:
[Journal Name: SciPost Physics Proceedings Journal Volume: 4 Journal Issue: 6]; Journal ID: ISSN 2542-4653
Publisher:
SciPost Foundation
Country of Publication:
Netherlands
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; AdS/CFT correspondence; Haar typicality; Holography

Citation Formats

Bao, Ning, and Chatwin-Davies, Aidan. Puzzles and pitfalls involving Haar-typicality in holography. Netherlands: N. p., 2018. Web. doi:10.21468/SciPostPhys.4.6.033.
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Bao, Ning, & Chatwin-Davies, Aidan. Puzzles and pitfalls involving Haar-typicality in holography. Netherlands. doi:10.21468/SciPostPhys.4.6.033.
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Bao, Ning, and Chatwin-Davies, Aidan. Tue . "Puzzles and pitfalls involving Haar-typicality in holography". Netherlands. doi:10.21468/SciPostPhys.4.6.033.
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@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 Proceedings},
number = [6],
volume = [4],
place = {Netherlands},
year = {2018},
month = {6}
}
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DOI: 10.21468/SciPostPhys.4.6.033
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