Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Channel capacities via $p$-summing norms   In this paper we show how \emph{the metric theory of tensor products}
developed by Grothendieck perfectly fits in the study of channel capacities, a
central topic in \emph{Shannon's information theory}. Furthermore, in the last
years Shannon's theory has been generalized to the quantum setting to let the
\emph{quantum information theory} step in. In this paper we consider the
classical capacity of quantum channels with restricted assisted entanglement.
In particular these capacities include the classical capacity and the unlimited
entanglement-assisted classical capacity of a quantum channel. To deal with the
quantum case we will use the noncommutative version of $p$-summing maps. More
precisely, we prove that the (product state) classical capacity of a quantum
channel with restricted assisted entanglement can be expressed as the
derivative of a completely $p$-summing norm.

24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph