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.
|Number of pages||16|
|Journal||Open Systems and Information Dynamics|
|Publication status||Published - 23 Mar 2016|
- quantum stochastic calculus
- quantum filter equation
- squeezed state
- homodyne measurement