Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generation and Robustness of Quantum Entanglement in Spin Graphs   Entanglement is a crucial resource for quantum information processing, and so
protocols to generate high fidelity entangled states on various hardware
platforms are in demand. While spin chains have been extensively studied to
generate entanglement, graph structures also have such potential; however, only
a few classes of graphs have been explored for this specific task. In this
paper, we apply a particular coupling scheme involving two different coupling
strengths to a graph of two interconnected $3\times3$ square graphs such that
it effectively contains three defects. We show how this structure allows
generation of a Bell state whose fidelity depends on the chosen coupling ratio.
We apply partitioned graph theory in order to reduce the dimension of the graph
and show that, using a reduced graph or a reduced chain, we can still simulate
the same protocol with identical dynamics. Finally, we investigate how
fabrication errors affect the entanglement generation protocol and how the
different equivalent structures are affected, finding that for some specific
coupling ratios they are extremely robust.

23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex