In the field of quantum information science, quantum steering (QS) and nonlocal advantage of quantum coherence (NAQC) are the core quantum resources, while their practical applications are often limited by the decoherence effect caused by environmental noise in open quantum systems. In this study, we explore the dynamic characteristics of QS and NAQC in non-Markovian environment. It is shown that both QS and NAQC exhibit oscillatory revival, and the amplitude is positively correlated with the purity of the initial state. It is worth mentioning that QS shows greater robustness during recovery, while NAQC decays more significantly under the same conditions. Furthermore, we propose a quantum control strategy based on weak measurement operation and demonstrate that this operation effectively suppresses the decoherence of QS and NAQC in non-Markovian environment.
In the field of quantum information science, quantum steering (QS) and nonlocal advantage of quantum coherence (NAQC) are the core quantum resources, while their practical applications are often limited by the decoherence effect caused by environmental noise in open quantum systems. In this study, we explore the dynamic characteristics of QS and NAQC in non-Markovian environment. It is shown that both QS and NAQC exhibit oscillatory revival, and the amplitude is positively correlated with the purity of the initial state. It is worth mentioning that QS shows greater robustness during recovery, while NAQC decays more significantly under the same conditions. Furthermore, we propose a quantum control strategy based on weak measurement operation and demonstrate that this operation effectively suppresses the decoherence of QS and NAQC in non-Markovian environment.
The important applications of quantum dot system are to implement logic operations and achieve universal quantum computing based on different quantum nonlocalities. Here, we characterize the quantum steering, Bell nonlocality, and nonlocal advantage of quantum coherence (NAQC) of quantum dot system suffering nonunital and unital channels. The results reveal that quantum steering, Bell nonlocality, and NAQC can display the traits of dissipation, enhancement, and freezing. One can achieve the detections of quantum steering, Bell nonlocality, and NAQC of quantum dot system in different situations. Among these quantum nonlocalities, NAQC is the most fragile, and it is most easily influenced by different system parameters. Furthermore, considering quantum dot system coupling with amplitude damping channel and phase damping channel, these quantum nonlocalities degenerate with the enlargement of the channel parameters t and Γ. Remarkably, measurement reversal can effectively control and enhance quantum steering, Bell nonlocality, and NAQC of quantum dot system suffering from decoherence, especially in the scenarios of the amplitude damping channel and strong operation strength.
Abstract We consider the scheme to recover nonlocal advantage of quantum coherence (NAQC) for two-qutrit system which suffer from the amplitude damping noises by using weak measurement reversal. The scope of the decay rate of the noise to achieve NAQC can be obviously extended after the application of weak measurement reversal, i.e. NAQC can be recovered in the region that there is no NAQC. The physical reason for the recovery may be attributed to the probabilistic nature of the scheme as well as the shrinking of the range for the state parameter to achieve NAQC.
Einstein-Podolsky-Rosen (EPR) steering is a type of characteristic nonlocal correlation and provides an important resource in quantum information tasks, especially in view of its asymmetric property. Although plenty of works on EPR steering have been reported, the study of non-Markovian evolution of EPR steering, in which the interactions between the quantum system and surrounding environment are taken into consideration, still lacks intuitive experimental evidence. Here, we experimentally observe the non-Markovian evolution of EPR steering including its sudden death and revival processes, during which the degree of memory effect plays a key role in the recovery of steering. Additionally, a strict unsteerable feature is sufficiently verified during the non-Markovian evolution within multisetting measurements. This Letter, revealing the whole evolution of EPR steering under the non-Markovian process, provides incisive insight into the applications of EPR steering in quantum open systems.
The problem of optimal control of non-Markovian open quantum system via weak measurement is presented. Based on the non-Markovian master equation, we evaluate exactly the non-Markovian effect on the dynamics of the system of interest interacting with a dissipative reservoir. We find that the non-Markovian reservoir has dual effects on the system: dissipation and backaction. The dissipation exhausts the coherence of the quantum system, whereas the backaction revives it. Moreover, we design the control Hamiltonian with the control laws attained by the stochastic optimal control and the corresponding optimal principle. At last, we considered the exact decoherence dynamics of a qubit in a dissipative reservoir composed of harmonic oscillators, and demonstrated the effectiveness of our optimal control strategy. Simulation results showed that the coherence will completely lost in the absence of control neither in non-Markovian nor Markovian system. However, the optimal feedback control steers it to a stationary stochastic process which fluctuates around the target. In this case the decoherence can be controlled effectively, which indicates that the engineered artificial reservoirs with optimal feedback control may be designed to protect the quantum coherence in quantum information and quantum computation.
The memory effects in open quantum systems can induce information backflow and revive quantum correlations, thereby providing a powerful way to protect and recover useful quantum resources in realistic noisy environments. However, such dynamics remains experimentally unexplored in multipartite quantum steering. Here we observe different non-Markovian evolution of tripartite quantum steering using Greenberger-Horne-Zeilinger-type mixed states, covering both death and revival processes. In particular, we experimentally demonstrate the more intricate asymmetric steering structure of tripartite quantum steering through different bipartitions, which do not arise in bipartite systems. Our results provide foundational insights into the hierarchical and directional structures in multipartite quantum steering, and highlight its potential as a useful resource for asymmetric quantum information processing.
Abstract We investigate the robustness of Einstein–Podolsky–Rosen (EPR) steering, nonlocality, and quantum coherence in a bipartite atomic system coupled to cavity fields under the influence of decoherence. The system consists of two non-interacting atoms, where each atom is confined within a cavity that interacts with another cavity field, which plays a crucial role in governing the dynamical evolution of two atoms. Through a combination of analytical and numerical investigations, we demonstrate that quantum steering, Bell nonlocality, and coherence can be not only preserved but also enhanced by appropriately tuning the cavity–cavity interaction strength, effectively mitigating environmental decoherence and extending the coherence lifetime of the system. Our results reveal that, under optimal conditions, steering, nonlocality, and coherence remain resilient against decoherence over extended timescales. These findings offer valuable insights into the controlled manipulation of quantum resources in open quantum systems and have significant implications for quantum information processing and secure communication technologies.