Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Measurement incompatibility and steering are necessary and sufficient
  for operational contextuality   Contextuality is a signature of operational nonclassicality in the outcome
statistics of an experiment. This notion of nonclassicality applies to a
breadth of physical phenomena. Here, we establish its relation to two
fundamental nonclassical entities in quantum theory; measurement
incompatibility and steering. We show that each is necessary and sufficient the
failure of operational contextuality. We exploit the established connection to
contextuality to provide a novel approach to problems in measurement
incompatibility and steering.

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The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat