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In this Letter, we mainly investigate the dynamic behavior of quantumsteering and how to effectively recover the lost steerability of quantum stateswithin non-Markovian environments. We consider two different cases(one-subsystem or all-subsystem interacts with the dissipative environments),and obtain that the dynamical interaction between system initialized by aWerner state and the non-Markovian environments can induce the quasi-periodicquantum entanglement (concurrence) resurgence, however, quantum steering cannotretrieve in such a condition. And we can obtain that the resurgent quantumentanglement cannot be utilized to achieve quantum steering. Subsequently, weput forward a feasible physical scheme for recovering the steerability ofquantum states within the non-Markovian noises by prior weak measurement oneach subsystem before the interaction with dissipative environments followed bypost weak measurement reversal. It is shown that the steerability of quantumstates and the fidelity can be effectively restored. Furthermore, the resultsshow that the larger the weak measurement strength is, the better theeffectiveness of the scheme is. Consequently, our investigations might bebeneficial to recover the lost steerability of quantum states within thenon-Markovian regimes.

Recovering the lost steerability of quantum states within non-Markovian environments by utilizing quantum partially collapsing measurements