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Puzzles and pitfalls involving Haar-typicality in holography

Bao, Ning and Chatwin-Davies, Aidan (2018) Puzzles and pitfalls involving Haar-typicality in holography. SciPost Physics, 4 (6). Art. No. 033. ISSN 2542-4653. doi:10.21468/SciPostPhys.4.6.033.

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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.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper
Bao, Ning0000-0002-3296-1039
Chatwin-Davies, Aidan0000-0003-1406-9271
Alternate Title:Puzzles and pitfalls involving Haar-typicality inholography
Additional Information:© 2018 N. Bao and A. Chatwin-Davies. This work is licensed under the Creative Commons Attribution 4.0 International License. Published by the SciPost Foundation. Received 09-10-2017; Accepted 08-06-2018; Published 19-16-2018. We would like to thank Hirosi Ooguri, Daniel Harlow, Massimiliano Rota and Mukund Rangamani for discussions. We would especially like to thank Bogdan Stoica, Sam Blitz, and Veronika Hubeny for collaboration in the early part of this work. N.B. is supported in part by the DuBridge Postdoctoral Fellowship, by the Institute for Quantum Information and Matter, an NSF Physics Frontiers Center (NFS Grant PHY-1125565) with support of the Gordon and Betty Moore Foundation (GBMF-12500028). A.C.-D. is supported by the Gordon and Betty Moore Foundation through Grant 776 to the Caltech Moore Center for Theoretical Cosmology and Physics. This work is supported by the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632.
Group:Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Lee A. DuBridge FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-12500028
Gordon and Betty Moore Foundation776
Caltech Moore Center for Theoretical Cosmology and PhysicsUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Issue or Number:6
Record Number:CaltechAUTHORS:20190521-131432519
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:95644
Deposited By: Tony Diaz
Deposited On:21 May 2019 20:45
Last Modified:16 Nov 2021 17:14

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