Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Better transmission with lower capacity: lossy compression over quantum
  channels   Shannon's channel coding theorem describes the maximum possible rate of
reliable information transfer through a classical noisy communication channel.
It, together with the source coding theorem, characterizes lossless channel
communication in the classical regime. Lossy compression scenarios require the
additional description provided by rate-distortion theory, which characterizes
the trade-off between compression rate and the distortion of the compressed
signal. Even in this context, the capacity characterizes the usefulness of a
channel -- a channel with more capacity will always outperform a channel with
less capacity. We show that this is no longer true when sending classical
information over a quantum channel. In particular, we find a pair of quantum
channels where the channel with the lower capacity causes less distortion than
the higher capacity channel when both are used at a fixed rate.

25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin