Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coherence and non-classicality of quantum Markov processes   Although quantum coherence is a basic trait of quantum mechanics, the
presence of coherences in the quantum description of a certain phenomenon does
not rule out the possibility to give an alternative description of the same
phenomenon in purely classical terms. Here, we give definite criteria to
determine when and to what extent quantum coherence is equivalent to
non-classicality. We prove that a Markovian multi-time statistics obtained from
repeated measurements of a non-degenerate observable cannot be traced back to a
classical statistics if and only if the dynamics is able to generate coherences
and to subsequently turn them into populations. Furthermore, we show with
simple examples that such connection between quantum coherence and
non-classicality is generally absent if the statistics is non-Markovian.

16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol