Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Equivalence between divisibility and monotonic decrease of information
  in classical and quantum stochastic processes   The crucial feature of a memoryless stochastic process is that any
information about its state can only decrease as the system evolves. Here we
show that such a decrease of information is equivalent to the underlying
stochastic evolution being divisible. The main result, which holds for both
classical and quantum stochastic processes, rely on a quantum version of the
so-called Blackwell-Sherman-Stein theorem in classical statistics.

26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys