Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Construction of genuine multipartite entangled states   Genuine multipartite entanglement is of great importance in quantum
information, especially from the experimental point of view. Nevertheless, it
is difficult to construct genuine multipartite entangled states systematically,
because the genuine multipartite entanglement is unruly. We propose another
product based on the Kronecker product in this paper. The Kronecker product is
a common product in quantum information with good physical interpretation. We
mainly investigate whether the proposed product of two genuine multipartite
entangled states is still a genuine entangled one. We understand the
entanglement of the proposed product better by characterizing the entanglement
of the Kronecker product. Then we show the proposed product is a genuine
multipartite entangled state in two cases. The results provide a systematical
method to construct genuine multipartite entangled states of more parties.

15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph