Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrete-time quantum walk algorithm for ranking nodes on a network   We present a quantum algorithm for ranking the nodes on a network in their
order of importance. The algorithm is based on a directed discrete-time quantum
walk, and works on all directed networks. This algorithm can theoretically be
applied to the entire internet, and thus can function as a quantum PageRank
algorithm. Our analysis shows that the hierarchy of quantum rank matches well
with the hierarchy of classical rank for directed tree network and for
non-trivial cyclic networks, the hierarchy of quantum ranks do not exactly
match to the hierarchy of the classical rank. This highlights the role of
quantum interference and fluctuations in networks and the importance of using
quantum algorithms to rank nodes in quantum networks. Another application this
algorithm can envision is to model the dynamics on networks mimicking the
chemical complexes and rank active centers in order of reactivities. Since
discrete-time quantum walks are implementable on current quantum processing
systems, this algorithm will also be of practical relevance in analysis of
quantum architecture.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat