Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Search Algorithms on Hierarchical Networks   The "abstract search algorithm" is a well known quantum method to find a
marked vertex in a graph. It has been applied with success to searching
algorithms for the hypercube and the two-dimensional grid. In this work we
provide an example for which that method fails to provide the best algorithm in
terms of time complexity. We analyze search algorithms in degree-3 hierarchical
networks using quantum walks driven by non-groverian coins. Our conclusions are
based on numerical simulations, but the hierarchical structures of the graphs
seems to allow analytical results.

19
The categories of this paper are: eess
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
14
The categories of this paper are: math-ph