Puzzles and pitfalls involving Haar-typicality in holography

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.

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

References in corpus (4)

• Black holes as mirrors: quantum information in random subsystems
• The Black Hole Information Problem
• Hyper-invariant tensor networks and holography
• Holographic Entropy Cone Measures

Cited by in corpus (2)

• Spacetime from Unentanglement
• Black Hole Cannibalism