We discuss the operation of the one-qubit quantum feedback loop,
which may be used for
initialization of a qubit in a solid-state quantum computer.
The continuous monitoring of a quantum state, which makes
the feedback possible, is done by means of a weak continuous measurement
and processing of the obtained information via quantum Bayesian
The properly designed quantum feedback
loop can keep the desired phase of a single-qubit quantum
coherent oscillations for infinitely long time, even in presence
of a dephasing environment. Various nonidealities reduce the
fidelity of the feedback synchronization. We report our
study of the effects of finite available bandwidth and time delay
on the one-qubit quantum feedback performance, and also discuss
the effect of environment-induced dephasing.