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The effect of a local instantaneous quantum dynamical process (QDP), eitherunitary or non-unitary, on the quantum state transfer through a unitaryHamiltonian evolution is investigated for both integrable and non-integrabledynamics. There are interference effects of the quantum state propagation andthe QDP signal propagation. The state transfer fidelity is small for furthersites, from the site where the information is coded, indicating a finite speedfor the propagation of the quantum correlation. There is a small change in thestate transfer fidelity for the case of non- unitary QDP intervening thebackground unitary dynamics. In the case of unitary QDP, the change is morepronounced, with a substantial increase in the fidelity for appropriate sitesand times. For the non-integrable case, viz. a kicked Harper model, the statetransfer fidelity is quite large for further sites for short times, indicatinga finite speed for the propagation of the quantum correlation cannot bedefined.

Interference of the signal from a local dynamical process with the quantum state propagation in spin chains