Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum walks on simplicial complexes   We construct a new type of quantum walks on simplicial complexes as a natural
extension of the well-known Szegedy walk on graphs. One can numerically observe
that our proposing quantum walks possess linear spreading and localization as
in the case of the Grover walk on lattices. Moreover, our numerical simulation
suggests that localization of our quantum walks reflect not only topological
but also geometric structures. On the other hand, our proposing quantum walk
contains an intrinsic problem concerning exhibition of nontrivial behavior,
which is not seen in typical quantum walks such as Grover walks on graphs.

19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga