Heisenberg's Limit Phase Sensitivity in The Presence of Decoherence Channels

TL;DR

This paper investigates how decoherence affects phase sensitivity limits in quantum systems, analyzing quantum Fisher information dynamics to distinguish Markovian and Non-Markovian processes, and highlighting the revival of phase sensitivity due to environmental memory effects.

Contribution

It introduces a method to analyze phase sensitivity evolution under decoherence using quantum Fisher information flow and entanglement, distinguishing Markovian from Non-Markovian dynamics.

Findings

Quantum Fisher information flow reveals differences between Markovian and Non-Markovian processes.

Environmental memory effects can revive phase sensitivity after decay.

Backflow of information enhances phase sensitivity temporarily.

Abstract

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.