Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete-time quantum walk with feed-forward quantum coin   Constructing a discrete model like a cellular automaton is a powerful method
for understanding various dynamical systems. However, the relationship between
the discrete model and its continuous analogue is, in general, nontrivial. As a
quantum-mechanical cellular automaton, a discrete-time quantum walk is defined
to include various quantum dynamical behavior. Here we generalize a
discrete-time quantum walk on a line into the feed-forward quantum coin model,
which depends on the coin state of the previous step. We show that our proposed
model has an anomalous slow diffusion characterized by the porous-medium
equation, while the conventional discrete-time quantum walk model shows
ballistic transport.

33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs