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

In this letter, we mainly investigate the dynamic behavior of quantum steering and how to effectively recover the lost steerability of quantum states within non-Markovian environments. We consider two different cases (one-subsystem or all-subsystem interaction with dissipative environments), and find that the dynamical interaction between a system initialized by a Werner state and a non-Markovian environment can induce quasi-periodic quantum entanglement (concurrence) resurgence, however, quantum steering cannot be retrieved in such a condition. We also find that the resurgent quantum entanglement cannot be utilized to achieve quantum steering. Subsequently, we put forward a feasible physical scheme for recovering the steerability of quantum states within non-Markovian noises by prior weak measurement on each subsystem before interaction with dissipative environments, followed by post weak measurement reversal. It is shown that the steerability of quantum states and fidelity can be effectively restored. Furthermore, the results show that the larger the weak measurement strength, the better the effectiveness of the scheme. Consequently, our investigations might be beneficial to recover the lost steerability of quantum states within non-Markovian regimes.