Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the asymmetry of the relative entropy   The quantum relative entropy $S(\rho||\sigma)$ is a widely used dissimilarity
measure between quantum states, but it has the peculiarity of being asymmetric
in its arguments. We quantify the amount of asymmetry by providing a sharp
upper bound in terms of two parameters: the trace norm distance between the two
states, and the smallest of the smallest eigenvalues of both states. The bound
is essentially the asymmetry between two binary distributions governed by these
two parameters.

30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
18
The categories of this paper are: econ
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga