Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Petz map and Python's lunch   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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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
9
The categories of this paper are: nlin
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org