Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantization and Asymptotic Behaviour of $\epsilon_{V^{k}}$ Quantum
  Random Walk on Integers   Quantization and asymptotic behaviour of a variant of discrete random walk on
integers are investigated. This variant, the $\epsilon_{V^{k}}$ walk, has the
novel feature that it uses many identical quantum coins keeping at the same
time characteristic quantum features like the quadratically faster than the
classical spreading rate, and unexpected distribution cutoffs. A weak limit of
the position probability distribution (pd) is obtained, and universal
properties of this arch sine asymptotic distribution function are examined.
Questions of driving the walk are investigated by means of a quantum optical
interaction model that reveals robustness of quantum features of walker's
asymptotic pd, against stimulated and spontaneous quantum noise on the coin
system.

1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph