Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic dynamics of coined quantum walks on percolation graphs   Quantum walks obey unitary dynamics: they form closed quantum systems. The
system becomes open if the walk suffers from imperfections represented as
missing links on the underlying basic graph structure, described by dynamical
percolation. Openness of the system's dynamics creates decoherence, leading to
strong mixing. We present a method to analytically solve the asymptotic
dynamics of coined, percolated quantum walks for a general graph structure. For
the case of a circle and a linear graph we derive the explicit form of the
asymptotic states. We find that a rich variety of asymptotic evolutions occur:
not only the fully mixed state, but other stationary states; stable periodic
and quasiperiodic oscillations can emerge, depending on the coin operator, the
initial state, and the topology of the underlying graph.

19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol