Recently entangled N00N state was purposed to beat Heisenberg limit phase sensitivity. In the present study, time evolution of phase sensitivity of entangled N00N state is determined by the aid of quantum estimation strategy in the presence amplitude damping decoherence channels. The phase sensitivity which is Heisenberg’s limit in the initial state is lost after decay time by the effect of decoherence channel. Also, quantum fisher information assessed to comprehend the phase sensitivity evolution corresponding to Non-Markovian and Markovian process which shows by the phase information exchange between system and environment.

Keywords: Markovian process, Eentangled N00N state, Phase sensitivity, Heisenberg limit, Amplitude damping.

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