Published June 19, 2018
| Published + Submitted
Journal Article
Open
Puzzles and pitfalls involving Haar-typicality in holography
- Creators
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Bao, Ning
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Chatwin-Davies, Aidan
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.
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.Attached Files
Published - SciPostPhys_4_6_033.pdf
Submitted - 1708.08561.pdf
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Additional details
- Alternative title
- Puzzles and pitfalls involving Haar-typicality inholography
- Eprint ID
- 95644
- Resolver ID
- CaltechAUTHORS:20190521-131432519
- Lee A. DuBridge Foundation
- Institute for Quantum Information and Matter (IQIM)
- PHY-1125565
- NSF
- GBMF-12500028
- Gordon and Betty Moore Foundation
- 776
- Gordon and Betty Moore Foundation
- Caltech Moore Center for Theoretical Cosmology and Physics
- DE-SC0011632
- Department of Energy (DOE)
- Created
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2019-05-21Created from EPrint's datestamp field
- Updated
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2021-11-16Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter, Walter Burke Institute for Theoretical Physics