Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Relation between quantum walks with tails and quantum walks with sinks
  on finite graphs   We connect the Grover walk with sinks to the Grover walk with tails. The
survival probability of the Grover walk with sinks in the long time limit is
characterized by the centered generalized eigenspace of the Grover walk with
tails. The centered eigenspace of the Grover walk is the attractor eigenspace
of the Grover walk with sinks. It is described by the persistent eigenspace of
the underlying random walk whose support has no overlap to the boundaries of
the graph and combinatorial flow in the graph theory.

6
The categories of this paper are: astro-ph
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
36
The categories of this paper are: cmp-lg
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
17
The categories of this paper are: q-fin