Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-way quantum communication using four-qubit cluster state: mutual
  exchange of quantum information   In the present study, we have proposed a scheme for two-way quantum
communication in which the two legitimate participants mutually exchange their
quantum information to each other by using a four-qubit cluster state as the
quantum channel. Recently, by utilizing a four-qubit cluster state as the
quantum channel, Kazemikhah et al. [Int. J. Theor. Phys., 60 (2021) 378] tried
to design a scheme for the mutual exchange of quantum information between two
legitimate participants. However, in the present study, it has been shown that
in their scheme the transmission of quantum information cannot be realized
because the two participants are not entangled to each other due to a trivial
conceptual mistake made by Kazemikhah et al. in the description of the quantum
channel. Here, we have shown that two legitimate participants can teleport
quantum information states to each other by using a four-qubit cluster state as
the quantum channel, provided they co-operate with each other and perform
non-local controlled phase gate operation. If both participants do not
co-operate with each other, then no one can reconstruct the information sent to
them, and therefore the exchange of information is possible only when both
participants are honest to each other.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat