Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum communication with $SU(2)$ invariant separable $2\times N$ level
  systems   Information is encoded in a qubit in the form of its Bloch vector. In this
paper, we propose protocols for remote transfers of information in a known and
an unknown qubit to qudits using $SU(2)$- invariant $\frac{1}{2}\otimes S$
discordant states as a channel. These states have been identified as separable
equivalents of the two-qubit entangled Werner states in [Bharath & Ravishankar,
Phys. Rev. A 89, 062110]. Due to $SU(2) \times SU(2)$ invariance of these
states, the remote qudit can be changed by performing appropriate measurements
on the qubit. We also propose a protocol for transferring information of an
unknown qudit to a remote qudit using a $\frac{1}{2}\otimes S$- state as a
channel. Finally, we propose a protocol for swapping of quantum discord from
$\frac{1}{2}\otimes S$- systems to $S\otimes S$- systems. All the protocols
proposed in this paper involve separable states as quantum channels. Employing
these protocols, we believe that quantum information processing can be
performed using highly mixed separable higher dimensional states.

33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph