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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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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Abstract 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.
AbstractList 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.
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.
Abstract 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.
ArticleNumber 38
Author Zhao, Ying
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CitedBy_id crossref_primary_10_1007_JHEP07_2023_189
crossref_primary_10_1007_JHEP08_2023_071
crossref_primary_10_1007_JHEP11_2020_111
crossref_primary_10_1140_epjc_s10052_022_10382_1
crossref_primary_10_1007_JHEP04_2022_175
crossref_primary_10_1007_JHEP03_2025_095
Cites_doi 10.1103/PhysRevD.74.066009
10.1007/JHEP04(2015)163
10.1103/PhysRevD.89.086010
10.1007/JHEP09(2020)002
10.1103/PhysRevLett.117.021601
10.1007/JHEP09(2013)018
10.1103/PhysRevD.97.126007
10.1007/JHEP07(2017)151
10.1007/JHEP05(2013)014
10.1007/JHEP08(2020)121
10.1002/prop.201500095
10.1007/JHEP06(2013)085
10.1103/PhysRevD.90.126007
10.1007/JHEP01(2020)168
10.1002/prop.201700034
10.1103/PhysRevD.95.045010
10.1007/JHEP06(2016)004
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The Author(s) 2020. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml – notice: The Author(s) 2020
– notice: The Author(s) 2020. This work is published under https://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
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– volume: 95
  year: 2017
  ident: 14154_CR20
  publication-title: Phys. Rev. D
  doi: 10.1103/PhysRevD.95.045010
– volume: 06
  start-page: 004
  year: 2016
  ident: 14154_CR3
  publication-title: JHEP
  doi: 10.1007/JHEP06(2016)004
SSID ssj0015190
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Snippet 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...
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...
Abstract 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...
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SubjectTerms 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
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Title Petz map and Python’s lunch
URI https://link.springer.com/article/10.1007/JHEP11(2020)038
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Volume 2020
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