Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entanglement entropy in the Hypercube networks   We investigate the hypercube networks that their nodes are considered as
quantum harmonic oscillators. The entanglement of the ground state can be used
to quantify the amount of information each part of a network shares with the
rest of the system via quantum fluctuations. Therefore, the Schmidt numbers and
entanglement entropy between two special parts of Hypercube network, can be
calculated. To this aim, first we use the stratification method to rewrite the
adjacency matrix of the network in the stratification basis which is the matrix
representation of the angular momentum. Then the entanglement entropy and
Schmidt number for special partitions are calculated an- alytically by using
the generalized Schur complement method. Also, we calculate the entanglement
entropy between two arbitrary equal subsets (two equal subsets have the same
number of vertices) in H(3, 2) and H(4, 2) numerically, and we give the minimum
and maximum values of entanglement entropy in these two Hypercube network. Then
we can conjecture the minimum and maximum values of entanglement entropy for
equal subsets in H(d, 2).

18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat