Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower semicontinuity of the entropic disturbance and its applications in
  quantum information theory   We prove that for any infinite-dimensional quantum channel the entropic
disturbance (defined as difference between the $\chi$-quantity of a generalized
ensemble and that of the image of the ensemble under the channel) is lower
semicontinuous on the natural set of its definition. We establish a number of
useful corollaries of this property, in particular, we prove the continuity of
the output $\chi\textrm{-}$quantity and the existence of $\chi$-optimal
ensemble for any quantum channel under the energy-type input constraint.

18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th