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Petz map and Python's lunch

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Ying Zhao

High Energy Physics - Theory · Submitted 6 Mar 2020

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim 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.

how it is stated · asserted 1.00 read the record →

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arXiv ID2003.03406 (version 2)
Pith ID7VGGS4GC, Pith's permanent record of this paper and its review
CitationYing Zhao. "Petz map and Python's lunch." arXiv:2003.03406 (2020). https://pith.science/paper/7VGGS4GC
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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13.0 via TypeSafe API, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,526 input tokens.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.45 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.47 · compares with prior results 0.17 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v2. Results and the main claim are underlined; .

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.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 We look at the interior operator reconstruction from the point of view of Petz map and study its complexity. contribution 0.92 0.77 0.08 unclear 0.59
s1 We show that Petz maps can be written as precursors under the condition of perfect recovery. result 0.96 0.89 0.22 asserted 1.00
s2 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. result 0.98 0.66 0.17 asserted 1.00
s3 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. result 1.00 0.71 0.40 asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.93.

What was examined, and what was not

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not examined
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  • figures and tables
  • references and citing sentences
  • relations to other papers
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  • P abstract
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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original 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.

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References
How the literature uses it

5 arXiv papers cite this in 8 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 7 sentences without a confident label

Cites it as background 1 paper
  • Next we review the Petz map reconstruction of code space operation from the boundary theory and its operational complexity in the presence of the Python's lunch degrees of freedom [ref] .

    Python's Lunches in Jackiw-Teitelboim gravity with matter · Complexity, reconstruction and ghostly interactions · 0.95

What it cites · 23 sentences without a confident label

Uses the method or tool of 2 papers
  • In this paper we will use the following definition of Petz map from [ref] [ref] . $W$ is an operator on the code subspace. $V$ is the embedding of the code subspace into the CFT Hilbert space.

    Entanglement Wedge Reconstruction using the Petz Map · Petz maps as precursors · 0.86

  • In this paper we will use the following definition of Petz map from [ref] [ref] . $W$ is an operator on the code subspace. $V$ is the embedding of the code subspace into the CFT Hilbert space.

    Replica wormholes and the black hole interior · Petz maps as precursors · 0.86

Cites as support 2 papers
Cites as background 7 papers

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