Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A comonadic view of simulation and quantum resources   We study simulation and quantum resources in the setting of the
sheaf-theoretic approach to contextuality and non-locality. Resources are
viewed behaviourally, as empirical models. In earlier work, a notion of
morphism for these empirical models was proposed and studied. We generalize and
simplify the earlier approach, by starting with a very simple notion of
morphism, and then extending it to a more useful one by passing to a co-Kleisli
category with respect to a comonad of measurement protocols. We show that these
morphisms capture notions of simulation between empirical models obtained via
`free' operations in a resource theory of contextuality, including the type of
classical control used in measurement-based quantum computation schemes.

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The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
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The categories of this paper are: hep-th
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph