Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantum Trajectories for Squeezed Input Processes: Explicit Solutions   We consider the quantum (trajectories) filtering equation for the case when
the system is driven by Bose field inputs prepared in an arbitrary non-zero
mean Gaussian state. The a posteriori evolution of the system is conditioned by
the results of a single or double homodyne measurements. The system interacting
with the Bose field is a single cavity mode taken initially in a Gaussian
state. We show explicit solutions using the method of characteristic functions
to the filtering equations exploiting the linear Gaussian nature of the
problem.

4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio