Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Walks on Necklaces and Mixing   We analyze continuous-time quantum walks on necklace graphs - cyclical graphs
consisting of many copies of a smaller graph (pearl). Using a Bloch-type ansatz
for the eigenfunctions, we block-diagonalize the Hamiltonian, reducing the
effective size of the problem to the size of a single pearl. We then present a
general approach for showing that the mixing time scales (with growing size of
the necklace) similarly to that of a simple walk on a cycle. Finally, we
present results for mixing on several necklace graphs.

20
The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
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The categories of this paper are: nlin
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
18
The categories of this paper are: econ