Protecting coherence by weak measurement and quantum measurement reversal

Abstract The dynamic behavior of the relative entropy of coherence for a two-level system is systematically investigated in different regimes. We derive the exact expressions of relative entropy quantifying coherence for an exactly solving model consisting of single qubit interacting with independent structured reservoir, show explicitly that the weak measurement (WM) and quantum measurement reversal (QMR) operation indeed help for protecting the coherence. In addition, the freezing phenomenon of the coherence can be detected by using the optimal WM and QMR operation.