Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete-time quantum walks generated by aperiodic fractal sequence of
  space coin operators   Properties of one dimensional discrete-time quantum walks are sensitive to
the presence of inhomogeneities in the substrate, which can be generated by
defining position dependent coin operators. Deterministic aperiodic sequences
of two or more symbols provide ideal environments where these properties can be
explored in a controlled way. This work discusses a two-coin model resulting
from the construction rules that lead to the usual fractal Cantor set. Although
the fraction of the less frequent coin $\rightarrow 0$ as the size of the chain
is increased, it leaves peculiar properties in the walker dynamics. They are
characterized by the wave function, from which results for the probability
distribution and its variance, as well as the entanglement entropy were
obtained. A number of results for different choices of the two coins are
presented. The entanglement entropy has shown to be very sensitive to uncover
subtle quantum effects present in the model.

3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph