文章基本信息

标题：On estimation and feedback control of spin-1/2 systems with unknown initial states ⁎
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作者：Weichao Liang ; Nina H. Amini ; Paolo Mason 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：5863-5868
DOI：10.1016/j.ifacol.2020.12.1634
语种：English
出版社：Elsevier
摘要：AbstractIn this paper, we consider stochastic master equations describing the evolutions of quantum systems interacting with electromagnetic fields undergoing continuous-time measurements. In particular, we study feedback control of quantum spin1/2 systems in the case of unawareness of initial states and in presence of measurement imperfections. We prove that the fidelity between the true quantum filter and its estimation (with arbitrary initial state) converges to one under appropriate assumption on the feedback controller. This shows the asymptotic convergence of such filters. In the more general case of spin-J systems, we discuss heuristically the asymptotic behavior of the true quantum filter and the associated estimation, and the possibility of exponentially stabilizing such systems towards an eigenvector of the measurement operator by an appropriate feedback.
关键词：KeywordsSpin systemsQuantum filteringStochastic master equationsFidelity