  In the present study, time evolution of quantum Cramer-Rao bound of entangled
N00N state, as phase sensitivity, is determined by the aid of quantum
estimation theory in the presence decoherence channels. Also, the dynamic
quantum process as decoherence approach is characterized by quantum fisher
information flow and entanglement amount in order to distinguish between
Markovian and Non-Markovian process. The comparison between quantum fisher
information and quantum fisher information flow assists to comprehend the phase
sensitivity evolution corresponding to Non-Markovian and Markovian process.
Furthermore, as result of backflow of information from the environment to
system, the phase sensitivity corresponding memory effect of environment are
revived after complete decay and increase in the few times.
