Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time-inhomogeneous Quantum Walks with Decoherence on Discrete Infinite
  Spaces   In quantum computation theory, quantum random walks have been utilized by
many quantum search algorithms which provide improved performance over their
classical counterparts. However, due to the importance of the quantum
decoherence phenomenon, decoherent quantum walks and their applications have
been studied on a wide variety of structures. Recently, a unified
time-inhomogeneous coin-turning random walk with rescaled limiting
distributions, Bernoulli, uniform, arcsine and semi-circle laws as parameter
varies have been obtained. In this paper we study the quantum analogue of these
models. We obtained a representation theorem for time-inhomogeneous quantum
walk on discrete infinite state space. Additionally, the convergence of the
distributions of the decoherent quantum walks are numerically estimated as an
application of the representation theorem, and the convergence in distribution
of the quantum analogues of Bernoulli, uniform, arcsine and semicircle laws are
statistically analyzed.

29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat