Abstract
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.
Original language | English |
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Article number | 1650004 |
Number of pages | 16 |
Journal | Open Systems and Information Dynamics |
Volume | 23 |
Issue number | 1 |
DOIs | |
Publication status | Published - 23 Mar 2016 |
Keywords
- quantum stochastic calculus
- quantum filter equation
- squeezed state
- homodyne measurement