Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A simple proof of the Jamiolkowski criterion for complete positivity of
  linear maps   We give a simple direct proof of the Jamiolkowski criterion to check whether
a linear map between matrix algebras is completely positive or not. This proof
is more accesible for physicists than others found in the literature and
provides a systematic method to give any set of Kraus matrices of its Kraus
decomposition.

8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
24
The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat