Petz map and Python’s lunch

A bstract We look at the interior operator reconstruction from the point of view of Petz map and study its complexity. We show that Petz maps can be written as precursors under the condition of perfect recovery. When we have the entire boundary system its complexity is related to the volume/action o...

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Bibliographic Details
Published inThe journal of high energy physics Vol. 2020; no. 11; pp. 1 - 15
Main Author Zhao, Ying
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.11.2020
Springer Nature B.V
SpringerOpen
Subjects
Black Holes
Classical and Quantum Gravitation
Complexity
Elementary Particles
High energy physics
Models of Quantum Gravity
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Subsystems
Black Holes
Models of Quantum Gravity
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Summary:A bstract We look at the interior operator reconstruction from the point of view of Petz map and study its complexity. We show that Petz maps can be written as precursors under the condition of perfect recovery. When we have the entire boundary system its complexity is related to the volume/action of the wormhole from the bulk operator to the boundary. When we only have access to part of the system, Python’s lunch appears and its restricted complexity depends exponentially on the size of the subsystem one loses access to.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2020)038