Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Information capacity of quantum observable   In this paper we consider the classical capacities of quantum-classical
channels corresponding to measurement of observables. Special attention is paid
to the case of continuous observables. We give the formulas for unassisted and
entanglement-assisted classical capacities $C,C_{ea}$ and consider some
explicitly solvable cases which give simple examples of entanglement-breaking
channels with $C<C_{ea}.$ We also elaborate on the ensemble-observable duality
to show that $C_{ea}$ for the measurement channel is related to the
$\chi$-quantity for the dual ensemble in the same way as $C$ is related to the
accessible information. This provides both accessible information and the
$\chi$-quantity for the quantum ensembles dual to our examples.

6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
19
The categories of this paper are: eess