Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Toward simulation of topological phenomenas with one-, two- and
  three-dimensional quantum walks   We study the simulation of the topological phases in three subsequent
dimensions with quantum walks. We are mainly focused on the completion of a
table for the protocols of the quantum walk that could simulate different
family of the topological phases in one, two dimensions and take the first
initiatives to build necessary protocols for three-dimensional cases. We also
highlight the possible boundary states that can be observed for each protocol
in different dimensions and extract the conditions for their emergences or
absences. To further enrich the simulation of the topological phenomenas, we
include step-dependent coins in the evolution operators of the quantum walks.
Consequently, this leads to step-dependency of the simulated topological
phenomenas and their properties which in turn introduce dynamicality as a
feature to simulated topological phases and boundary states. This dynamicality
provides the step-number of the quantum walk as a mean to control and engineer
the number of topological phases and boundary states, their populations, types
and even occurrences.

37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
2
The categories of this paper are: math
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex