Abstract
Abstract We investigate the dynamical behaviors of quantum entanglement and quantum-memory-assisted entropic uncertainty in the dephasing noise. The influence of Ohmic parameters and placement positions of the quantum register on the dynamics of quantum entanglement and entropic uncertainty are analyzed in detail. The numerical simulations show that the influence of Ohmic parameter at low temperature can be divided into two different regions in terms of the critical value s = 2.5 . If s 2.5 , the quantum entanglement decays monotonically with time, revealing the feature of Markovian dynamics. If s > 2.5 , the quantum entanglement decreases firstly and then raises and tends to a steady-state value. Thus, it is feasible to protect the quantum entanglement by choosing the super-Ohmic thermal reservoirs with s > 2.5 . This scheme is also beneficial to reduce entropic uncertainty. We find that, changing the positions of the quantum register do not affect the dynamics behavior and uncertainty of the system in the dephasing reservoir.
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