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. https://resolver.caltech.edu/CaltechAUTHORS:20190521-131432519

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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.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.21468/SciPostPhys.4.6.033	DOI	Article
https://arxiv.org/abs/1708.08561	arXiv	Discussion Paper

ORCID:

Author	ORCID
Bao, Ning	0000-0002-3296-1039
Chatwin-Davies, Aidan	0000-0003-1406-9271

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

Funders:

Funding Agency	Grant Number
Lee A. DuBridge Foundation	UNSPECIFIED
Institute for Quantum Information and Matter (IQIM)	UNSPECIFIED
NSF	PHY-1125565
Gordon and Betty Moore Foundation	GBMF-12500028
Gordon and Betty Moore Foundation	776
Caltech Moore Center for Theoretical Cosmology and Physics	UNSPECIFIED
Department of Energy (DOE)	DE-SC0011632

Issue or Number:

DOI:

10.21468/SciPostPhys.4.6.033

Record Number:

CaltechAUTHORS:20190521-131432519

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20190521-131432519

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

95644

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

21 May 2019 20:45

Last Modified:

16 Nov 2021 17:14

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