Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The stability of quantum Markov filters   When are quantum filters asymptotically independent of the initial state? We
show that this is the case for absolutely continuous initial states when the
quantum stochastic model satisfies an observability condition. When the initial
system is finite dimensional, this condition can be verified explicitly in
terms of a rank condition on the coefficients of the associated quantum
stochastic differential equation.

37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex