Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum reverse hypercontractivity: its tensorization and application to
  strong converses   In this paper we develop the theory of quantum reverse hypercontractivity
inequalities and show how they can be derived from log-Sobolev inequalities.
Next we prove a generalization of the Stroock-Varopoulos inequality in the
non-commutative setting which allows us to derive quantum hypercontractivity
and reverse hypercontractivity inequalities solely from $2$-log-Sobolev and
$1$-log-Sobolev inequalities respectively. We then prove some
tensorization-type results providing us with tools to prove hypercontractivity
and reverse hypercontractivity not only for certain quantum superoperators but
also for their tensor powers. Finally as an application of these results, we
generalize a recent technique for proving strong converse bounds in information
theory via reverse hypercontractivity inequalities to the quantum setting. We
prove strong converse bounds for the problems of quantum hypothesis testing and
classical-quantum channel coding based on the quantum reverse
hypercontractivity inequalities that we derive.

3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
7
The categories of this paper are: hep-th