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Pure State Feedback Switching Control Based on the Online Estimated State for Stochastic Open Quantum Systems

IEEE/CAA Journal of Automatica Sinica 2024年第10期11卷 2166-2178页

作者： shuang cong Zhixiang Dong Department of Automation University of Science and Technology of ChinaHefei 230027China Lazas Network Technology Co.Ltd Hangzhou 311100China IEEE

For the n-qubit stochastic open quantum systems,based on the Lyapunov stability theorem and LaSalle’s invariant set principle,a pure state switching control based on on-line estimated state feedback(short for OQST-SFC)is proposed to realize the state transition the pure state of the target state including eigenstate and superposition *** proposed switching control consists of a constant control and a control law designed based on the Lyapunov method,in which the Lyapunov function is the state distance of the *** constant control is used to drive the system state from an initial state to the convergence domain only containing the target state,and a Lyapunov-based control is used to make the state enter the convergence domain and then continue to converge to the target *** the same time,the continuous weak measurement of quantum system and the quantum state tomography method based on the on-line alternating direction multiplier(QST-OADM)are used to obtain the system information and estimate the quantum state which is used as the input of the quantum system ***,the pure state feedback switching control method based on the on-line estimated state feedback is realized in an n-qubit stochastic open quantum *** complete derivation process of n-qubit QST-OADM algorithm is given;Through strict theoretical proof and analysis,the convergence conditions to ensure any initial state of the quantum system to converge the target pure state are *** proposed control method is applied to a 2-qubit stochastic open quantum system for numerical simulation *** possible different position cases between the initial estimated state and that of the controlled system are studied and discussed,and the performances of the state transition under the corresponding cases are analyzed.

关键词： Online state estimation state feedback control stochastic open quantum systems(OQST) switching control

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Design of control sequence of pulses for the population transfer of high dimensional spin 1/2 quantum systems

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Journal of Systems Engineering and Electronics 2008年第6期19卷 1226-1234页

作者： cong shuang Lou Yuesheng Dept. of Automation Univ. of Science and Technology of China Hefei 230027 P. R. China

On the basis of the relationship between the Hamiltonian of spin 1/2 quantum system under control and the energy level structure and transitions, a radio frequency pulse sequence is designed using intuitive and half counter-intuitive sequences of pulse to transfer the population of the 3-qubit system coherently. The effectiveness of the designed control sequence is verified through the system simulation experiment of the evolution of state. In principle, the design method of the control pulse sequence proposed can be generalized to use in the quantum systems of higher dimension.

关键词： quantum system control population transfer pulse sequence design intuitive sequence half counter-intuitive sequence

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PREPARATION OF ENTANGLEMENT STATES IN A TWO-SPIN SYSTEM BY LYAPUNOV-BASED METHOD

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Journal of Systems Science & Complexity 2012年第3期25卷 451-462页

作者： Fei YANG shuang cong Department of Automation University of Science and Technology of China Key Laboratory of Quantum Information University of Science and Technology of ChinaChinese Academy of Sciences

A stable Lyapunov-based control law is proposed for entanglement states preparation in this paper. Tbe mathematical model of a two-spin system is constructed in interaction picture. An average value of observable operator is selected as the Lyapunov fllnction. This paper designs the observable operator to make sure that the target state is stable in Lyapunov sense. Then the authors analyze the convergence of the control system, and demonstrate that the Bell states are asymptotically stable under the control law designed. Compared with other methods, the control method proposed in this paper has the advantages of easy design and convergence to the target states. Numerical simulation experiments for the preparation of Bell states are implemented.

关键词： Entanglement Lyapunov-based method interaction picture observable operator.

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STATE TRANSFER CONTROL OF QUANTUM SYSTEMS ON THE BLOCH SPHERE

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Journal of Systems Science & Complexity 2011年第3期24卷 506-518页

作者： Yuesheng LOU shuang cong Department of Automation University of Science & Technology of China Hefei 230027 China

The state transfer under control fields is analyzed based on the Bloch sphere representation of a single qubit. In order to achieve the target from an arbitrary initial state to a target state, the conditions that parameters should satisfy are deduced separately in two different requirements： One is in the case of the rotation angle around the x-axis being fixed and another is in the situation with a given evolution time. Several typical states trajectories are demonstrated by numerical simulations on the Bloch sphere. The relations between parameters and the trajectories are analyzed.

关键词： Quantum control qubit state transfer trajectory the Bloch sphere.

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State of the art and prospects of structured sensing matrices in compressed sensing

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Frontiers of Computer Science 2015年第5期9卷 665-677页

作者： Kezhi LI shuang cong Automatic Complex Communication Networks Signal and Systems Center Royal Institute of Technology (KTH) Stockholm 10044 Sweden Department of Automation University of Science and Technology of China Hefei 230027 China

Compressed sensing （CS） enables people to acquire the compressed measurements directly and recover sparse or compressible signals faithfully even when the sampiing rate is much lower than the Nyquist rate. However, the pure random sensing matrices usually require huge memory for storage and high computational cost for signal reconstruction. Many structured sensing matrices have been proposed recently to simplify the sensing scheme and the hardware implementation in practice. Based on the restricted isometry property and coherence, couples of existing structured sensing matrices are reviewed in this paper, which have special structures, high recovery performance, and many advantages such as the simple construction, fast calculation and easy hardware implementation. The number of measurements and the universality of different structure matrices are compared.

关键词： compressed sensing structured sensing matrices RIP coherence

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Preparation of Hadamard Gate for Open Quantum Systems by the Lyapunov Control Method

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IEEE/CAA Journal of Automatica Sinica 2018年第3期5卷 733-740页

作者： Nourallah Ghaeminezhad shuang cong Department of Automation University of Science and Technology of ChinaHefei 230027China IEEE

In this paper, the control laws based on the Lyapunov stability theorem are designed for a two-level open quantum system to prepare the Hadamard gate, which is an important basic gate for the quantum computers. First, the density matrix interested in quantum system is transferred to vector ***, in order to obtain a controller with higher accuracy and faster convergence rate, a Lyapunov function based on the matrix logarithm function is designed. After that, a procedure for the controller design is derived based on the Lyapunov stability theorem. Finally, the numerical simulation experiments for an amplitude damping Markovian open quantum system are performed to prepare the desired quantum gate. The simulation results show that the preparation of Hadamard gate based on the proposed control laws can achieve the fidelity up to 0.9985 for the different coupling strengths.

关键词： Lyapunov control method open quantum system operator preparation quantum Hadamard gate vector space dynamics

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TRAJECTORY TRACKING THEORY OF QUANTUM SYSTEMS

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Journal of Systems Science & Complexity 2014年第4期27卷 679-693页

作者： cong shuang LIU Jianxiu Department of Automation University of Science and Technology of China

The orbit tracking problem of a free-evolutionary target system in closed quantum systems is solved by changing it into the state transferring problem with the help of unitary *** control law designed by the Lyapunov stability theorem employs a carefully constructed virtual mechanical quantity P to ensure the system *** virtual mechanical quantity P is chosen by two approaches according to the forms of limit set,where P = —pf is suitable for regular limit set and a new different P is constructed for irregular *** proposed tracking control theory is demonstrated on a four-level quantum system by means of numerical simulation experiments.

关键词： Convergence limit set Lyapunov stability theorem orbit tracking.

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Design and simulation of the ATP system considering the advanced targeting angle in quantum positioning system

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Journal of Systems Engineering and Electronics 2022年第5期33卷 1227-1236页

作者： cong shuang ZHANG Xiang DUAN Shiqi Department of Automation University of Science and Technology of ChinaHefei 230027China

A compensation implementation scheme of the advanced targeting process based on the fine tracking system is proposed in this *** on the working process of the quantum positioning system(QPS)and its acquisition,tracking and pointing(ATP)system,the advanced targeting subsystem of the ATP system is *** on six orbital parameters of the quantum satellite Mozi,the advanced targeting azimuth angle and pitch angle are transformed into the dynamic tracking center of the fine tracking system in the ATP *** deviation of the advanced targeting process is *** the Simulink,the simulation experiment of the ATP system considering the deviation compensation of the advanced targeting is carried out,and the results are analyzed.

关键词： quantum positioning system(QPS) acquisition tracking and pointing(ATP) advanced targeting

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An online quantum state filter with sparse disturbance and Gaussian noise

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Science China(Information Sciences) 2022年第6期65卷 273-274页

作者： Tao WANG shuang cong School of Information Science and Technology University of Science and Technology of China

Dear editor,Quantum communication and quantum computation, whose essence is using quantum mechanics to control the quantum state, are the cutting-edge technologies for information security and efficient computing. Quantum state estimation(QSE) is considered as a fundamental problem in high-precision quantum state feedback control, and the estimation accuracy significantly affects subsequent applications [1]. As proposed by Zhang et al. [2],

关键词： Online Quantum State Filter(OQSF) Online Alternating Direction Method of Multipliers(OADM) Iterative Shrinkage Threshold Algorithm(ISTA) Sparse Disturbance Gaussian Noise

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Optimal Noise Suppression of Phase Damping Quantum Systems via Weak Measurement

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Journal of Systems Science & Complexity 2019年第5期32卷 1264-1279页

作者： HARRAZ Sajede cong shuang KUANG Sen Department of Automation University of Science and Technology of China

One qubit subjected to the effect of phase damping in a two-level quantum system with arbitrary pure initial state is studied in this paper. The aim of this paper is to find the optimal control scheme to correct the qubit back as close as possible to its initial state. The strength-dependent measurements and control correction rotation in different bases are designed to protect the arbitrary pure state of qubit. The authors design the optimal weak measurement strength to achieve the best trade-off between gaining the information of the system and the disturbance through *** authors study the suppression of phase damping in two cases: There is and isn’t the y component in initial state. The authors deduce the optimal parameters and performances of the control schemes for the various initial state situations. Simulation results demonstrate the effectiveness of the proposed control schemes.

关键词： Open quantum system optimal noise suppression phase damping quantum system control weak measurement

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