Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Limit properties of global interaction stochastic quantum walks on
  directed graphs   The main results of our work is determining the differences between limiting
properties in various models of quantum stochastic walks. In particular, we
prove that in the case of strongly connected and a class of weakly connected
directed graphs, local environment interaction evolution is relaxing, and in
the case of undirected graphs, global environment interaction evolution is
convergent. For other classes of directed graphs we show, that the character of
connectivity large influence on the limiting properties. We also study the
limiting properties for the non-moralizing global interaction case. We
demonstrate that the digraph observance is recovered in this case.

34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex