Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H-theorem for Systems with an Interaction Invariant Distribution
  Function   H-theorem gives necessary conditions for a system to evolve in time with a
non-diminishing entropy. In a quantum case the role of H-theorem plays the
unitality criteria of a quantum channel transformation describing the evolution
of the system's density matrix under the presence of the interaction with an
environment. Here, we show that if diagonal elements of the system's density
matrix are robust to the presence of interaction the corresponding quantum
channel is unital.

15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph