Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum graph walks I: mapping to quantum walks   We clarify that coined quantum walk is determined by only the choice of local
quantum coins. To do so, we characterize coined quantum walks on graph by
disjoint Euler circles with respect to symmetric arcs. In this paper, we
introduce a new class of coined quantum walk by a special choice of quantum
coins determined by corresponding quantum graph, called quantum graph walk. We
show that a stationary state of quantum graph walk describes the eigenfunction
of the quantum graph.

9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat