Puzzles and pitfalls involving Haar-typicality in holography
High Energy Physics - Theory
2018-06-20 v5 General Relativity and Quantum Cosmology
Quantum Physics
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.
Keywords
Cite
@article{arxiv.1708.08561,
title = {Puzzles and pitfalls involving Haar-typicality in holography},
author = {Ning Bao and Aidan Chatwin-Davies},
journal= {arXiv preprint arXiv:1708.08561},
year = {2018}
}
Comments
8 pages, v2 fixed formatting in title/abstract, v3 updated page style, v4 reply to SciPost referee report 1 2018-2-8; v5 reply to SciPost referee reports 2 and 3, editor-requested revisions