Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The classical capacity achievable by a quantum channel assisted by
  limited entanglement   We give the trade-off curve showing the capacity of a quantum channel as a
function of the amount of entanglement used by the sender and receiver for
transmitting information. The endpoints of this curve are given by the
Holevo-Schumacher-Westmoreland capacity formula and the entanglement-assisted
capacity, which is the maximum over all input density matrices of the quantum
mutual information. The proof we give is based on the
Holevo-Schumacher-Westmoreland formula, and also gives a new and simpler proof
for the entanglement-assisted capacity formula.

1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th