Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinematics and Dynamics of Quantum Walks in terms of Systems of
  Imprimitivity   We build systems of imprimitivity (SI) in the context of quantum walks and
provide geometric constructions for their configuration space. We consider
three systems, an evolution of unitaries from the group SO3 on a low
dimensional de Sitter space where the walk happens on the dual of SO3, standard
quantum walk whose SI live on the orbits of stabilizer subgroups (little
groups) of semidirect products describing the symmetries of 1+1 spacetime, and
automorphisms (walks are specific automorphisms) on distant-transitive graphs
as application of the constructions.

30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con