Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Markovianity of Gaussian Channels   We introduce a necessary and sufficient criterion for the non-Markovianity of
Gaussian quantum dynamical maps based on the violation of divisibility. The
criterion is derived by defining a general vectorial representation of the
covariance matrix which is then exploited to determine the condition for the
complete positivity of partial maps associated to arbitrary time intervals.
Such construction does not rely on the Choi-Jamiolkowski representation and
does not require optimization over states.

26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
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The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con