Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak measurements, non-classicality and negative probability   This paper establishes a direct, robust and intimate connection between (i)
non classicality tests for various quantum features, e.g., non-Boolean logic,
quantum coherence, nonlocality, quantum entanglement, quantum discord; (ii)
negative probability, and (iii) anomalous weak values. It has been shown
[Adhikary et al. Eur. Phys. J. D, 74(68):68, 2020] that nonexistence of a
classical joint probability scheme gives rise to sufficiency conditions for
nonlocality, a nonclassical feature not restricted to quantum mechanics. The
conditions for nonclassical features of quantum mechanics are obtained by
employing pseudo probabilities, which are expectation values of the parent
pseudo projections. The crux of the paper is that the pseudo-probabilities,
which can take negative values, can be directly measured as anomalous weak
values. We expect that this opens up new avenues for testing nonclassicality
via weak measurements, and also gives deeper insight into negative pseudo
probabilities which become measurable. A quantum game, based on violation of
classical probability rule is also proposed that can be played by employing
weak measurements.

4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio