Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Edge-state enhanced transport in a 2-dimensional quantum walk   Quantum walks on translation invariant regular graphs spread quadratically
faster than their classical counterparts. The same coherence that gives them
this quantum speedup inhibits, or even stops their spread in the presence of
disorder. We ask how to create an efficient transport channel from a fixed
source site (A) to fixed target site (B) in a disordered 2-dimensional
discrete-time quantum walk by cutting some of the links. We show that the
somewhat counterintuitive strategy of cutting links along a single line
connecting A to B creates such a channel. The efficient transport along the cut
is due to topologically protected chiral edge states, which exist even though
the bulk Chern number in this system vanishes. We give a realization of the
walk as a periodically driven lattice Hamiltonian, and identify the bulk
topological invariant responsible for the edge states as the quasienergy
winding of this Hamiltonian.

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The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
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The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat