Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on the Grover walk and the generalized Ihara zeta function of the
  one-dimensional integer lattice   Chinta, Jorgenson and Karlsson introduced a generalized version of the
determinant formula for the Ihara zeta function associated to finite or
infinite regular graphs. On the other hand, Konno and Sato obtained a formula
of the characteristic polynomial of the Grover matrix by using the determinant
expression for the second weighted zeta function of a finite graph. In this
paper, we focus on a relationship between the Grover walk and the generalized
Ihara zeta function. That is to say, we treat the generalized Ihara zeta
function of the one-dimensional integer lattice as a limit of the Ihara zeta
function of the cycle graph.

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The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nlin
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The categories of this paper are: eess
5
The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ