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quantum control with Lyapunov function and bang–bang solution in the optomechanics system

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Frontiers of physics 2022年第3期17卷 139-153页

作者： Yu Wang Yi-Hao Kang Chang-Sheng Hu Bi-Hua Huang Jie Song Yan Xia Fujian Key Laboratory of quantum Information and quantum Optics(Fuzhou University) Fuzhou 350108China Department of Physics Fuzhou UniversityFuzhou 350108China Department of Physics Harbin Institute of TechnologyHarbin 150001China

We propose a quantum control scheme with the help of Lyapunov control function in the optomechanics system. The principle of the idea is to design suitable control fields to steer the Lyapunov control function to zero as t → ∞ while the quantum system is driven to the target state. Such an evolution makes no limit on the initial state and one needs not manipulate the laser pulses during the evolution. To prove the effectiveness of the scheme, we show two useful applications in the optomechanics system: one is the cooling of nanomechanical resonator and the other is the quantum fluctuation transfer between membranes. Numerical simulation demonstrates that the perfect and fast cooling of nanomechanical resonator and quantum fluctuation transfer between membranes can be rapidly achieved. Besides, some optimizations are made on the traditional Lyapunov control waveform and the optimized bang–bang control fields makes Lyapunov function V decrease faster. The optimized quantum control scheme can achieve the same goal with greater efficiency. Hence, we hope that this work may open a new avenue of the experimental realization of cooling mechanical oscillator, quantum fluctuations transfer between membranes and other quantum optomechanics tasks and become an alternative candidate for quantum manipulation of macroscopic mechanical devices in the near future.

关键词： bang-bang solution quantum control Lyapunov control optomechanics system

Enhancing quantum metrology for multiple frequencies of oscillating magnetic fields by quantum control

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Chinese Physics B 2024年第6期33卷 177-187页

作者：雷昕范静怡庞盛世 School of Physics Sun Yat-sen UniversityGuangzhou 510275China

quantum multi-parameter estimation has recently attracted increased attention due to its wide applications, with a primary goal of designing high-precision measurement schemes for unknown parameters. While existing research has predominantly concentrated on time-independent Hamiltonians, little has been known about quantum multi-parameter estimation for time-dependent Hamiltonians due to the complexity of quantum dynamics. This work bridges the gap by investigating the precision limit of multi-parameter quantum estimation for a qubit in an oscillating magnetic field model with multiple unknown frequencies. As the well-known quantum Cramer–Rao bound is generally unattainable due to the potential incompatibility between the optimal measurements for different parameters, we use the most informative bound instead which is always attainable and equivalent to the Holevo bound in the asymptotic limit. Moreover, we apply additional Hamiltonian to the system to engineer the dynamics of the qubit. By utilizing the quasi-Newton method, we explore the optimal schemes to attain the highest precision for the unknown frequencies of the magnetic field, including the simultaneous optimization of initial state preparation, the control Hamiltonian and the final measurement. The results indicate that the optimization can yield much higher precisions for the field frequencies than those without the optimizations. Finally,we study the robustness of the optimal control scheme with respect to the fluctuation of the interested frequencies, and the optimized scheme exhibits superior robustness to the scenario without any optimization.

关键词： quantum metrology multi-parameter estimation quantum control

Experimentally realizing efficient quantum control with reinforcement learning

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Science China(Physics,Mechanics & Astronomy) 2022年第5期65卷 13-20页

作者： Ming-Zhong Ai Yongcheng Ding Yue Ban JoséDMartín-Guerrero Jorge Casanova Jin-Ming Cui Yun-Feng Huang Xi Chen Chuan-Feng Li Guang-Can Guo CAS Key Laboratory of quantum Information University of Science and Technology of ChinaHefei 230026China CAS Center For Excellence in quantum Information and quantum Physics University of Science and Technology of ChinaHefei 230026China International Center of quantum Artifcial Intelligence for Science and Technology(Qu Artist)and Department of Physics Shanghai UniversityShanghai 200444China Department of Physical Chemistry University of the Basque Country UPV/EHUBilbao 48080Spai School of Materials Science and Engineering Shanghai UniversityShanghai 200444China IDAL Electronic Engineering DepartmentUniversity of ValenciaValencia 46100Spain IKERBASQUE Basque Foundation for ScienceBilbao 48009Spain

We experimentally investigate deep reinforcement learning(DRL)as an artificial intelligence approach to control a quantum *** verify that DRL explores fast and robust digital quantum controls with operation time analytically hinted by shortcuts to *** particular,the protocol’s robustness against both over-rotations and off-resonance errors can still be achieved simultaneously without any priori *** the thorough comparison,we choose the task as single-qubit flipping,in which various analytical methods are well-developed as the benchmark,ensuring their feasibility in the quantum system as ***,a gate operation is demonstrated on a trapped^(171) Yb^(+)ion,significantly outperforming analytical pulses in the gate time and energy cost with hybrid robustness,as well as the fidelity after repetitive operations under time-varying stochastic *** experiments reveal a framework of computer-inspired quantum control,which can be extended to other complicated tasks without loss of generality.

关键词： quantum control reinforcement learning trapped ion quantum computing noise robustness

The modelling of quantum control systems

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Science Bulletin 2015年第17期60卷 1493-1508页

作者： Wenbin Dong Rebing Wu Xiaohu Yuan Chunwen Li Tzyh-Jong Tarn Department of Automation Tsinghua University Center for quantum Information Science and Technology TNList Electrical and Systems Engineering Department Washington University in St. Louis

High-performance control of quantum dynamics is key to the development of quantum *** quantum-state engineering to quantum metrology,theory and practice of quantum control enable robust and cheaper technologies for future industrial *** 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.

关键词： quantum control Modelling quantum technology

Optimization Landscape of quantum control Systems

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Complex System Modeling and Simulation 2021年第2期1卷 77-90页

作者： Xiaozhen Ge Rebing Wu Herschel Rabitz Department of Automation Tsinghua UniversityBeijing 100084China Department of Chemistry Princeton UniversityPrincetonNJ 08544USA.

Optimization is ubiquitous in the control of quantum dynamics in atomic,molecular,and optical *** 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 *** 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 ***,the effects of various factors on the search effort are discussed,including control constraints,singularities,saddles,noises,and non-topological features of the ***,we review recent experimental advances in the control of molecular and spin *** 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.

关键词： quantum control optimization landscape critical manifold

DIRECT SELF-REPAIRING control FOR HELICOPTER VIA quantum control AND ADAPTIVE COMPENSATOR

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Transactions of Nanjing University of Aeronautics and Astronautics 2011年第4期28卷 337-342页

作者：陈复扬姜斌陶钢南京航空航天大学自动化学院弗吉尼亚大学电子与计算机工程系

A direct self-repairing control approach is proposed for helicopter via quantum control techniques and adaptive compensator when some complex faults occur. For a linear varying-parameter helicopter control system, the model reference adaptive control law is designed and an adaptive compensator is used for improving its self-re- pairing capability. To enhance anti-interference capability of helicopter, quantum control feedforward is added be- tween fault and disturbance. Simulation results illustrate the effectiveness and feasibility of the approach.

关键词： helicopter model reference adaptive control self-repairing control quantum control

Performance Comparison Between Classical and quantum control for a Simple quantum System

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Performance Comparison Between Classical and Quantum Control...

quantum learning control using differential evolution with equally-mixed strategies

第二十六届中国控制会议

作者： Xi Zairong1 1.Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100080,P.R.China

Bran’czyk *** pointed out that the quantum control scheme is superior to the classical control scheme for a simple quantum system using simulation [1].Here we strictly prove the result from mathematical view.

关键词： quantum control quantum Information quantum Channel quantum Noise Classical control

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control Theory and Technology 2017年第3期15卷 226-241页

作者： Hailan MA Daoyi DONG Chuan-Cun SHU Zhangqing ZHU Chunlin CHEN School of Management and Engineering Nanjing University Nanjing Jiangsu 210093 China School of Engineering and Information Technology University of New South Wales Canberra ACT 2600 Australia

Learning control has been recognized as a powerful approach in quantum information technology. In this paper, we extend the application of differential evolution （DE） to design optimal control for various quantum systems. Various DE methods are introduced and analyzed, and EMSDE featuring in equally mixed strategies is employed for quantum control. Two classes of quantum control problems, including control of four-level open quantum ensembles and quantum superconducting systems, are investigated to demonstrate the performance of EMSDE for learning control of quantum systems. Numerical results verify the effectiveness of the FMSDE method for various quantum systems and show the potential for complex quantum control problems.

关键词： Differential evolution with equally-mixed strategies (EMSDE) quantum learning control superconducting circuits quantum control

A Study on Measurement in quantum control

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A Study on Measurement in Quantum Control