Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concavity of the auxiliary function appearing in quantum reliability
  function an classical-quantum channels   Concavity of the auxiliary function which appears in the random coding
exponent as the lower bound of the quantum reliability function for general
quantum states is proven for s between 0 and 1.

37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an