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 contra...
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| Format: | Article |
| Language: | English |
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SciPost
2018-06-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.4.6.033 |
| Summary: | 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. |
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| ISSN: | 2542-4653 |