Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: From the Kochen-Specker theorem to noncontextuality inequalities without
  assuming determinism   The Kochen-Specker theorem demonstrates that it is not possible to reproduce
the predictions of quantum theory in terms of a hidden variable model where the
hidden variables assign a value to every projector deterministically and
noncontextually. A noncontextual value-assignment to a projector is one that
does not depend on which other projectors - the context - are measured together
with it. Using a generalization of the notion of noncontextuality that applies
to both measurements and preparations, we propose a scheme for deriving
inequalities that test whether a given set of experimental statistics is
consistent with a noncontextual model. Unlike previous inequalities inspired by
the Kochen-Specker theorem, we do not assume that the value-assignments are
deterministic and therefore in the face of a violation of our inequality, the
possibility of salvaging noncontextuality by abandoning determinism is no
longer an option. Our approach is operational in the sense that it does not
presume quantum theory: a violation of our inequality implies the impossibility
of a noncontextual model for any operational theory that can account for the
experimental observations, including any successor to quantum theory.

26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph