Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the classical capacity of quantum Gaussian measurement   In this paper we consider the classical capacity problem for Gaussian
measurement channels without imposing any kind of threshold condition. We prove
Gaussianity of the average state of the optimal ensemble in general and discuss
the Hypothesis of Gaussian Maximizers concerning the structure of the ensemble.
The proof uses an approach of Wolf, Giedke and Cirac adapted to the convex
closure of the output differential entropy. Then we discuss the case of one
mode in detail, including the dual problem of accessible information of a
Gaussian ensemble.
  In quantum communications there are several studies of the classical capacity
in the transmission scheme where not only the Gaussian channel but also the
receiver is fixed, and the optimization is performed over certain set of the
input ensembles. These studies are practically important in view of the
complexity of the optimal receiver in the Quantum Channel Coding (HSW) theorem.
Our findings are relevant to such a situation where the receiver is Gaussian
and concatenation of the channel and the receiver can be considered as one
Gaussian measurement channel. Our efforts in this and preceding papers are then
aimed at establishing full Gaussianity of the optimal ensemble (usually taken
as an assumption) in such schemes.

11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc