Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Classical-Quantum Channel with Random State Parameters Known to the
  Sender   We study an analog of the well-known Gel'fand Pinsker Channel which uses
quantum states for the transmission of the data. We consider the case where
both the sender's inputs to the channel and the channel states are to be taken
from a finite set (cq-channel with state information at the sender). We
distinguish between causal and non-causal channel state information at the
sender. The receiver remains ignorant, throughout. We give a single-letter
description of the capacity in the first case. In the second case we present
two different regularized expressions for the capacity. It is an astonishing
and unexpected result of our work that a simple change from causal to
non-causal channel state information at the encoder causes the complexity of a
numerical computation of the capacity formula to change from trivial to
seemingly difficult. Still, even the non-single letter formula allows one to
draw nontrivial conclusions, for example regarding continuity of the capacity
with respect to changes in the system parameters. The direct parts of both
coding theorems are based on a special class of POVMs which are derived from
orthogonal projections onto certain representations of the symmetric groups.
This approach supports a reasoning that is inspired by the classical method of
types. In combination with the non-commutative union bound these POVMs yield an
elegant method of proof for the direct part of the coding theorem in the first
case.

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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: patt-sol
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The categories of this paper are: mtrl-th