Characterization of dynamical measurement's uncertainty in a two-qubit system coupled with bosonic reservoirs

• Published in: Physics letters. A Vol. 383; no. 10; pp. 977 - 984
• Main Authors: Chen, Min-Nan, Wang, Dong, Ye, Liu
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 11.03.2019
• Subjects: Entropic uncertainty relation; Filtering operation; Markovian; Non-Markovian; Weak measurement; Entropic uncertainty relation; Non-Markovian; Weak measurement; Filtering operation; Markovian
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2018.12.025

•The dynamics of the entropic uncertainty is investigated under the crossover of Markovian and non-Markovian regimes.•The trace distance and non-Markovianity are revealed.•The strategy to reduce the measurement's uncertainty is proposed. We study the dynamical characteristics of the entropy-based uncertainty with regard to a pair of incompatible measurements under a bipartite qubit-system suffering from quantum decoherence induced by hierarchical environments. How non-Markovian and Markovian environments affect the dynamical behaviors of the measurement's uncertainty is revealed. We prove that the measured uncertainty of interest demonstrates a non-monotonic behavior, viz., the amount will increase initially and subsequently oscillate periodically with the growth of time in a non-Markovian regime; On the contrary, the uncertainty will inflate firstly and monotonically decrease in a Markovian regime. Noteworthily, we put forward a simple and feasible strategy to suppress the damping of the system and hence be good for decreasing the magnitude of the uncertainty, by virtue of optimal combination of pre-weak measurements and post-filtering operations. Furthermore, we explore the applications of the uncertainty relation investigated on entanglement witness and channel capacity.