  The effect of a local instantaneous quantum dynamical process (QDP), either
unitary or non-unitary, on the quantum state transfer through a unitary
Hamiltonian evolution is investigated for both integrable and non-integrable
dynamics. There are interference effects of the quantum state propagation and
the QDP signal propagation. The state transfer fidelity is small for further
sites, from the site where the information is coded, indicating a finite speed
for the propagation of the quantum correlation. There is a small change in the
state transfer fidelity for the case of non- unitary QDP intervening the
background unitary dynamics. In the case of unitary QDP, the change is more
pronounced, with a substantial increase in the fidelity for appropriate sites
and times. For the non-integrable case, viz. a kicked Harper model, the state
transfer fidelity is quite large for further sites for short times, indicating
a finite speed for the propagation of the quantum correlation cannot be
defined.
