Petz reconstruction in random tensor networks

A bstract We illustrate the ideas of bulk reconstruction in the context of random tensor network toy models of holography. Specifically, we demonstrate how the Petz reconstruction map works to obtain bulk operators from the boundary data by exploiting the replica trick. We also take the opportunity...

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Bibliographic Details
Published in:The journal of high energy physics 2020-10, Vol.2020 (10), p.1-15, Article 50
Main Authors: Jia, Hewei Frederic, Rangamani, Mukund
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Elementary Particles
Gauge-gravity correspondence
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Random Systems
Regular Article - Theoretical Physics
Relativity Theory
String Theory
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Summary:A bstract We illustrate the ideas of bulk reconstruction in the context of random tensor network toy models of holography. Specifically, we demonstrate how the Petz reconstruction map works to obtain bulk operators from the boundary data by exploiting the replica trick. We also take the opportunity to comment on the differences between coarse-graining and random projections.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP10(2020)050