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

Abstract

In this Letter, we mainly investigate the dynamic behavior of quantum\nsteering and how to effectively recover the lost steerability of quantum states\nwithin non-Markovian environments. We consider two different cases\n(one-subsystem or all-subsystem interacts with the dissipative environments),\nand obtain that the dynamical interaction between system initialized by a\nWerner state and the non-Markovian environments can induce the quasi-periodic\nquantum entanglement (concurrence) resurgence, however, quantum steering cannot\nretrieve in such a condition. And we can obtain that the resurgent quantum\nentanglement cannot be utilized to achieve quantum steering. Subsequently, we\nput forward a feasible physical scheme for recovering the steerability of\nquantum states within the non-Markovian noises by prior weak measurement on\neach subsystem before the interaction with dissipative environments followed by\npost weak measurement reversal. It is shown that the steerability of quantum\nstates and the fidelity can be effectively restored. Furthermore, the results\nshow that the larger the weak measurement strength is, the better the\neffectiveness of the scheme is. Consequently, our investigations might be\nbeneficial to recover the lost steerability of quantum states within the\nnon-Markovian regimes.\n