Feedback control of Decoherence by continuous measurement

A general framework for applying feedback control to quantum control system under continuous measurement by a probe is discussed. The analysis is the standard bilinear interacting hamiltonian control form. A continuous measurement model based on an interacting quantum probe is used to control via feedback. It is also shown that concepts from systems theory could be applied with non-trivial modifications to analyze such feedback control systems undergoing decoherence. We also report new progress to the ongoing work on applications of feedback to control decoherence in open quantum systems