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Volume 11 Issue 10
Oct.  2024

IEEE/CAA Journal of Automatica Sinica

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Article Contents
S. Cong and  Z. Dong,  “Pure state feedback switching control based on the online estimated state for stochastic open quantum systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 10, pp. 2166–2178, Oct. 2024. doi: 10.1109/JAS.2023.124071
Citation: S. Cong and  Z. Dong,  “Pure state feedback switching control based on the online estimated state for stochastic open quantum systems,” IEEE/CAA J. Autom. Sinica, vol. 11, no. 10, pp. 2166–2178, Oct. 2024. doi: 10.1109/JAS.2023.124071

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

doi: 10.1109/JAS.2023.124071
Funds:  This work was supported by the National Natural Science Foundation of China (62473354)
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  • 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 state. The 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 system. 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 state. At 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 controller. Then, the pure state feedback switching control method based on the on-line estimated state feedback is realized in an n-qubit stochastic open quantum system. The 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 given. The proposed control method is applied to a 2-qubit stochastic open quantum system for numerical simulation experiments. Four 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.

     

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    Highlights

    • This paper is for the first time to propose an on-line quantum state tomography switching feedback control (OQST-SFC) for pure state transfer of stochastic open quantum systems
    • One of on-line quantum state estimation algorithms and pure state transfer method of stochastic open quantum systems are combined to study the pure state switching feedback control based on online estimated state for stochastic open quantum systems
    • The paper focuses on analyzing the four different control cases when the initial estimated state and the controlled quantum system’s initial state are different in the proposed OQST-SFC strategy

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