Addendum to computational complexity and black hole horizons

In this addendum to [arXiv:1402.5674] two points are discussed. In the first additional evidence is provided for a dual connection between the geometric length of an Einstein‐Rosen bridge and the computational complexity of the quantum state of the dual CFT's. The relation between growth of com...

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Bibliographic Details
Published in:Fortschritte der Physik Vol. 64; no. 1; pp. 44 - 48
Main Author: Susskind, Leonard
Format: Journal Article
Language:English
Published: Weinheim Blackwell Publishing Ltd 01.01.2016
Wiley Subscription Services, Inc
Subjects:
Astrophysics
Black holes
Quantum theory
wormholes
ISSN:0015-8208, 1521-3978
Online Access:Get full text
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Summary:In this addendum to [arXiv:1402.5674] two points are discussed. In the first additional evidence is provided for a dual connection between the geometric length of an Einstein‐Rosen bridge and the computational complexity of the quantum state of the dual CFT's. The relation between growth of complexity and Page's “Extreme Cosmic Censorship” principle is also remarked on. The second point involves a gedanken experiment in which Alice measures a complete set of commuting observables at her end of an Einstein‐Rosen bridge is discussed. An apparent paradox is resolved by appealing to the properties of GHZ tripartite entanglement. In this addendum to the previous paper two points are discussed. In the first additional evidence is provided for a dual connection between the geometric length of an Einstein‐Rosen bridge and the computational complexity of the quantum state of the dual CFT's. The relation between growth of complexity and Page's “Extreme Cosmic Censorship" principle is also remarked on. The second point involves a gedanken experiment in which Alice measures a complete set of commuting observables at her end of an Einstein‐Rosen bridge is discussed. An apparent paradox is resolved by appealing to the properties of GHZ tripartite entanglemen.
Bibliography:ark:/67375/WNG-SRMQNHMJ-V
istex:77C7A18783051C319594F20CE06A1F6C9E862F4D
ArticleID:PROP201500093
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0015-8208
1521-3978
DOI:10.1002/prop.201500093