Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: State Transfer in Highly Connected Networks and a Quantum Babinet
  Principle   The transfer of a quantum state between distant nodes in two-dimensional
networks, is considered. The fidelity of state transfer is calculated as a
function of the number of interactions in networks that are described by
regular graphs. It is shown that perfect state transfer is achieved in a
network of size N, whose structure is that of a N/2-cross polytope graph, if N
is a multiple of 4. The result is reminiscent of the Babinet principle of
classical optics. A quantum Babinet principle is derived, which allows for the
identification of complementary graphs leading to the same fidelity of state
transfer, in analogy with complementary screens providing identical diffraction
patterns.

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The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: cond-mat
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The categories of this paper are: physics
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg