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| 1 | Feedback control of nonlinear differential algebraic systems using Hamiltonian function method显示文摘The stabilization and H∞ control of nonlinear differential algebraic systems (NDAS) are investigated using the Hamiltonian function method. Firstly, we put forward a novel dissipative Hamiltonian realization (DHR) structure and give the condition to com- plete the Hamiltonian realization. Then, based on the DHR, we present a criterion for the stability analysis of NDAS and construct a stabilization controller for NDAS in absence of disturbances. Finally, for NDAS in presence of disturbances, the L2 gain is analyzed via generalized Hamilton-Jacobi inequality and an H∞ control strategy is constructed. The proposed stabilization and robust controller can effectively take advantage of the structural characteristics of NDAS and is simple in form. | LIU Yanhong LI Chunwen WU Rebing | 2006 | Science in China(Series F)2006，49，4： | 10 |
| 2 | The modelling of quantum control systems显示文摘High-performance control of quantum dynamics is key to the development of quantum technologies.From quantum-state engineering to quantum metrology,theory and practice of quantum control enable robust and cheaper technologies for future industrial applications.Starting from fundamental matter–field interactions, we overview various approaches to modelling quantum control systems, in which control can be implemented by either changing field or material properties. These models are built in time or frequency domain and can be interconnected to form quantum feedback networks. This review can be taken as a useful reference for engineers to understand the quantum physics behind, or for physicists to resolve control problems from a control engineering point of view. | Wenbin Dong Rebing Wu Xiaohu Yuan Chunwen Li Tzyh-Jong Tarn | 2015 | Science Bulletin2015，60，17： | 2 |
| 3 | Control problems in quantum systems显示文摘The past decade or two has witnessed tremendous progress in theory and practice of quantum control technologies.Bridging different scientific disciplines ranging from fundamental particle physics to nanotechnology,the goal of quantum control has been to develop effective and efficient tools for common analysis and design,but more importantly would pave the way for future technological applications.This article briefly reviews basic quantum control theory from the perspective of modeling,analysis and design,as well as considers future research directions. | WU ReBing ZHANG Jing LI ChunWen LONG GuiLu TARN TzyhJong | 2012 | Chinese Science Bulletin2012，57，18： | 1 |
| 4 | Optimal control of quantum systems with SU(1,1)dynamical symmetry显示文摘SU(1,1)dynamical symmetry is of fundamental importance in analyzing unbounded quantum systems in theoretical and applied physics.In this paper,we study the control of generalized coherent states associated with quantum systems with SU(1,1)dynamical symmetry.Based on a pseudo Riemannian metric on the SU(1,1)group,we obtain necessary conditions for minimizing the field fluence of controls that steer the system to the desired final state.Further analyses show that the candidate optimal control solutions can be classified into normal and abnormal extremals.The abnormal extremals can only be constant functions when the control Hamiltonian is non-parabolic,while the normal extremals can be expressed by Weierstrass elliptic functions according to the parabolicity of the control Hamiltonian.As a special case,the optimal control solution that maximally squeezes a generalized coherent state is a sinusoidal field,which is consistent with what is used in the laboratory. | Wenbin DONG Rebing WU Jianwu WU Chunwen LI Tzyh-Jong TARN | 2015 | Control Theory and Technology2015，13，3： | 1 |
| 5 | Deterministic Teleportation of an Arbitrary Two-Qubit State Via a One-Dimensional Four-Qubit Cluster State显示文摘This paper presents an approach to deterministically teleport an arbitrary two-qubit state through a one-dimensional four-qubit cluster state serving as a probabilistic quantum channel. The channel is modulated in advance to avoid damage to the original states in this scheme, which is caused by the inevitable failure of constructing a channel between the sender and the receiver. The scheme is flexible because the channel can be modulated either by the sender or by the receiver, with the option of deciding whether the sender or the receiver modulates the channel, according to the distribution of the available particle resources. The efficiency can be improved by reusing previously discarded results that may lead to a faithful channel. The scheme can be uniformly performed, so the design process can be greatly simplified to realize a reliable deterministic teleportation. Finally, the scheme is extended to deterministic teleportation of an arbitrary n-qubit state in a generalized form. | Hui Li Chunwen Li Rebing Wu | 2012 | Tsinghua Science and Technology2012，17，3： | 1 |
| 6 | Multi-channel quantum parameter estimation显示文摘The aim of quantum metrology is to exploit quantum effects to improve the precision of parameter estimation beyond its classical limit.In this paper,we investigate the quantum parameter estimation problem with multiple channels.It is related but not limited to the following two important and practical quantum metrology problems:(i) Quantum enhanced metrology with control,whose aim is to improve the precision of quantum sensing by utilizing feedback or open-loop control;(ii) Practical quantum metrology where the underlying evolution of quantum probes may change from a unitary dynamics to an open system dynamics,owing to the inevitable decoherence during the quantum sensing operation.For various kinds of quantum multiple channels,the corresponding quantum channel Fisher information is derived.To demonstrate the results,some illustrative examples are given. | Liying BAO Bo QI Yabo WANG Daoyi DONG Rebing WU | 2022 | Science China(Information Sciences)2022，65，10： | 0 |
| 7 | Optimization Landscape of Quantum Control Systems显示文摘Optimization is ubiquitous in the control of quantum dynamics in atomic,molecular,and optical systems.The ease or difficulty of finding control solutions,which is practically crucial for developing quantum technologies,is highly dependent on the geometry of the underlying optimization landscapes.In this review,we give an introduction to the basic concepts in the theory of quantum optimal control landscapes,and their trap-free critical topology under two fundamental assumptions.Furthermore,the effects of various factors on the search effort are discussed,including control constraints,singularities,saddles,noises,and non-topological features of the landscapes.Additionally,we review recent experimental advances in the control of molecular and spin systems.These results provide an overall understanding of the optimization complexity of quantum control dynamics,which may help to develop more efficient optimization algorithms for quantum control systems,and as a promising extension,the training processes in quantum machine learning. | Xiaozhen Ge Rebing Wu Herschel Rabitz | 2021 | Complex System Modeling and Simulation2021，1，2： | 0 |
| 8 | Controllability of Quantum Systems with SU(1,1)Dynamical Symmetry显示文摘This paper presents sufficient and necessary conditions for the propagator controllability of a class of infinite-dimensional quantum systems with SU(1,1)dynamical symmetry through the isomorphic mapping to the non-unitary representation of SU(1,1).The authors prove that the elliptic condition of the total Hamiltonian is both necessary and sufficient for the controllability and strong controllability.The obtained results can be also extended to control systems with SO(2,1)dynamical symmetry. | WU Jianwu WU Rebing ZHANG Jing LI Chunwen | 2021 | Journal of Systems Science & Complexity2021，34，3： | 0 |
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