Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The defect-induced localization in many positions of the quantum random
  walk   We study the localization of probability distribution in a discrete quantum
random walk on an infinite chain. With a phase defect introduced in any
position of the quantum random walk (QRW), we have found that the localization
of the probability distribution in the QRW emerges. Different localized
behaviors of the probability distribution in the QRW are presented when the
defect occupies different positions. Given that the coefficients of the
localized stationary eigenstates relies on the coin operator, we reveal that
when the defect occupies different positions, the amplitude of localized
probability distribution in the QRW exhibits a non-trivial dependence on the
coin operator.

22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci