The Dynamics of Quantum Steering under Multiple Environments

W. F. Wang, K. Wang, W. W. Cheng

W. W. Cheng, Bin Li

Smail B. Bougouffa, K. Berrada

We investigate the non-Markovian dynamics of quantum steering in a tripartite photonic system subject to dephasing noise. By developing a theoretical framework based on the single-photon dephasing model extended to three independent photons, we analyze the temporal evolution of steering measures SA-BC and SAB-C for two distinct classes of initial states: W-type entangled states and GHZ-type mixed entangled states. The system is studied under various environmental configurations, ranging from fully Markovian to fully non-Markovian regimes, with asymmetric distributions of memory effects across the three photons. Our results reveal that the dynamics of tripartite steering are highly sensitive to both the number of photons coupled to non-Markovian environments and the specific partition of the system being considered. For W-states, non-Markovian effects induce oscillatory behavior with death-revival cycles, where the intervals of sudden death and revival amplitudes depend critically on the distribution of memory effects. For GHZ-states, we observe multiple death-revival cycles in some configurations and prolonged preservation of steering without complete sudden death in others. Notably, we find that non-Markovian environments significantly influence the dynamics of quantum steering through information backflow effects, with their impact depending sensitively on the subsystem to which the environment is coupled and on the roles of the steering and steered parties. These findings demonstrate that non-Markovian effects can significantly influence the preservation and degradation of directional quantum correlations, with their impact depending strongly on the coupling configuration and the choice of steering and steered subsystems. This behavior provides useful insight into the control of quantum steering in photonic networks and related quantum information processing tasks.

Che‐Ming Li, Hsin-Pin Lo, Liangyu Chen +1 more

Lennart Maximilian Seifert, Konstantin Beyer, Kimmo Luoma +1 more

We use contemporary quantum computers to experimentally investigate quantum steering of an open quantum system by measurements on its environment. On three IBM quantum processors we distinguish a qubit as the open system and perform pairwise interactions with multiple environment ancillas, following a collision model approach. Different measurement strategies on the ancillas lead to different state ensembles of the open system, which are reconstructed by employing state tomography. The amount of steering within the resulting assemblages is quantified with the help of a semidefinite program. We successfully observe the presence of quantum steering in our experimental simulations and can discriminate the different performance qualities and noise levels of the selected quantum devices.

Su-Wan Tu, De-Feng Liu, Cheng‐Cheng Liu +3 more

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.