Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On equalities in two entropic inequalities   A simple criterion for local equality between the constrained Holevo capacity
and the quantum mutual information of a quantum channel is obtained. It implies
that the set of all states for which this equality holds is determined by the
kernel of the channel (as a linear map).
  Applications to Bosonic Gaussian channels are considered. It is shown that
for a Gaussian channel having no completely depolarizing components the above
characteristics may coincide only at non-Gaussian mixed states and a criterion
of existence of such states is given.
  All the obtained results may be reformulated as conditions for equality
between the constrained Holevo capacity of a quantum channel and the input von
Neumann entropy.

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The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
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The categories of this paper are: solv-int
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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: hep-th
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The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: funct-an