Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Irreducibly $SU(2)$-covariant quantum channels of low rank   We investigate information theoretic properties of low rank (less than or
equal to 3) quantum channels with $SU(2)$-symmetry, where we have a complete
description. We prove that PPT property coincides with entanglement-breaking
property and that degradability seldomly holds in this class. In connection
with these results we will demonstrate how we can compute Holevo and coherent
information of those channels. In particular, we exhibit a strong form of
additivity violation of coherent information, which resembles the
superactivation of coherent information of depolarizing channels.

21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin