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Entanglement quantifier Based on Atomic Wehrl Entropy for Non-Linear Interaction between a Single Two-Level Atom and SU(1,1) quantum System

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Journal of quantum Information Science 2014年第1期4卷 44-53页

作者： Sayed Abdel-Khalek Manal Al-quthami Mohamed M. A. Ahmed Mathematics Department Faculty of Science Taif University Taif KSA

In this paper, we study the dynamics of the atomic inversion, scaled atomic Wehrl entropy and marginal atomic Wehrl density for a single two-level atom interacting with SU(1,1) quantum system. We obtain the expectation values of the atomic variables using specific initial conditions. We examine the effects of different parameters on the scaled atomic Wehrl entropy and marginal atomic Wehrl density. We observe an interesting monotonic relation between the different physical quantities for different values of the initial atomic position and detuning parameter.

关键词： Scaled Atomic Wehrl Entropy Atomic q-function Atomic Inversion

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Dynamical Properties of the Superposition of Two Finite Trio Coherent States

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Journal of quantum Information Science 2019年第1期9卷 98-109页

作者： Salama I. Ali Ahmed M. Mosallem Mathematics Department Faculty of Science Hail University Hail City Saudi Arabia Mathematics Department Faculty of Science Al-Azher University Cairo Egypt Department of Mathematics and Theoretical Physics Nuclear Research Centre Atomic Energy Authority Cairo Egypt

In this contribution we study a superposition of two finite dimensional trio coherent states (FTCS). The state is regarded as a correlated three-mode state in finite dimensional bases. The framework of Pegg and Barnett formalism, and the phase distribution in addition to the Poissonian distribution are examined. It is shown that the eigenvalue of the difference of the photon number (the q-parameter) is responsible for the non-classical phenomenon. Furthermore, the quasi-probability distribution functions (the Wigner and q-functions) are also discussed. In this case and for the Wigner function the non-classical behavior is only reported for the odd values of the q-parameter.

关键词： Entropy Squeezing Atomic Wehrl Entropy Marginal Atomic q-function

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Case-deletion Diagnostics for Linear Mixed Models

Case-deletion Diagnostics for Linear Mixed Models

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第十届海峡两岸统计与概率研讨会

作者：费宇潘建新 Yunnan University of Finance and Economics School of Mathematics University of Manchester

Based on the q-function, the conditional expectation of the logarithm of the joint-likelihood between responses and random effects, we propose a case-deletion approach to identify influential subjects and influential observations in linear mixed models. The models considered here are very broad in the sense that any covariance structures can be specified in the covariance matrices of the random effects and random errors. Analytically explicit forms of diagnostic measures for the fixed effects and variance components are provided. Comparisons with existing methods, including likelihood-based case-deletion and local influence method, are made. Numerical results, including real data analysis and simulation studies, are presented for both illustration and comparison.

关键词： Covariance structures Generalized Cook distance Influence analysis q-function

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ADP-Based Model Reference Adaptive Control Design for Unknown Discrete-Time Nonlinear Systems

ADP-Based Model Reference Adaptive Control Design for Unknow...

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第37届中国控制会议

作者： Wei Wang Xin Chen Fang Wang Hao Fu School of Automation China University of Geosciences Hubei Key Laboratory of Advanced Control and Intelligent Automation for Complex Systems School of Electrical and Information Engineering Zhengzhou University of Light Industry

In engineering applications, it is very useful to make a nonlinear system behave like a linear stable system. However,how to design a model reference adaptive control（MRAC） as the nonlinear dynamics is unknown is the key problem. In this study,an MRAC with adaptive dynamic programming（ADP） algorithm is presented for discrete-time nonlinear unknown dynamic systems, in which a multi-layer neural network（NN） model is utilized to describe the nonlinear system’s dynamics. Then based on this approximate model, a feedforward neuro-controller is developed as the desired control corresponding to the reference input. Third, the iterative ADP algorithm, in the form of actor-critic framework, employs two NNs to estimate the action value function, and generates the feedback control which, together with the feedforward neuro-controller, makes the state of the system track the reference model. Finally the feasibility of the new approach is verified by two numerical experiments.

关键词： Model reference adaptive control Adaptive dynamic programming Nonlinear system q-function

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