scholarly journals Exponential stabilization of stochastic quantum systems via combined feedback control

2021 ◽  
Author(s):  
Jie Wen
Keyword(s):  
Feedback Control ◽  
Control Strategy ◽  
State Feedback ◽  
Quantum Systems ◽  
The State ◽  
Exponential Stabilization ◽  
Feedback Controls ◽  
Feedback Strategies ◽  
Continuous Noise ◽  
Stochastic Quantum Systems

<div>We propose a novel control strategy by combining state feedback and noise-assisted feedback to exponentially stabilize the target eigenstate for two-level stochastic quantum systems in this paper. The state space is divided into two subspaces, and the state feedback and noise-assisted feedback work in the corresponding subspace, respectively, to achieve the faster state convergence than that of using the two feedback strategies individually. Two kinds of continuous noise-assisted feedback controls are used to form the combined feedback strategies, respectively, and the exponential stabilization of target eigenstate is proved. The effectiveness and superiority of the combined feedback strategies are also verified in numerical simulations.</div>

scholarly journals Exponential stabilization of stochastic quantum systems via combined feedback control

2021 ◽  
Author(s):  
Jie Wen
Keyword(s):  
Feedback Control ◽  
Control Strategy ◽  
State Feedback ◽  
Quantum Systems ◽  
The State ◽  
Exponential Stabilization ◽  
Feedback Controls ◽  
Feedback Strategies ◽  
Continuous Noise ◽  
Stochastic Quantum Systems

<div>We propose a novel control strategy by combining state feedback and noise-assisted feedback to exponentially stabilize the target eigenstate for two-level stochastic quantum systems in this paper. The state space is divided into two subspaces, and the state feedback and noise-assisted feedback work in the corresponding subspace, respectively, to achieve the faster state convergence than that of using the two feedback strategies individually. Two kinds of continuous noise-assisted feedback controls are used to form the combined feedback strategies, respectively, and the exponential stabilization of target eigenstate is proved. The effectiveness and superiority of the combined feedback strategies are also verified in numerical simulations.</div>

scholarly journals Exponential stabilization of stochastic quantum systems via combined feedback control

2021 ◽  
Author(s):  
Jie Wen ◽  
Yuanhao Shi ◽  
Jianfang Jia ◽  
Jianchao Zeng
Keyword(s):  
Feedback Control ◽  
Control Strategy ◽  
State Feedback ◽  
Quantum Systems ◽  
The State ◽  
Exponential Stabilization ◽  
Feedback Controls ◽  
Feedback Strategies ◽  
Continuous Noise ◽  
Stochastic Quantum Systems

<div>We propose a novel control strategy by combining state feedback and noise-assisted feedback to exponentially stabilize the target eigenstate for two-level stochastic quantum systems in this paper. The state space is divided into two subspaces, and the state feedback and noise-assisted feedback work in the corresponding subspace, respectively, to achieve the faster state convergence than that of using the two feedback strategies individually. Two kinds of continuous noise-assisted feedback controls are used to form the combined feedback strategies, respectively, and the exponential stabilization of target eigenstate is proved. The effectiveness and superiority of the combined feedback strategies are also verified in numerical simulations.</div>

scholarly journals Exponential stabilization of spin-1/2 systems based on switching state feedback

2021 ◽  
Author(s):  
Jie Wen ◽  
Yuanhao Shi ◽  
Jianfang Jia ◽  
Jianchao Zeng
Keyword(s):  
State Feedback ◽  
Control Parameter ◽  
Exponential Convergence ◽  
Quantum Spin ◽  
The State ◽  
Exponential Stabilization ◽  
Feedback Controls ◽  
Feedback Strategy ◽  
Continuous State ◽  
Switching State

The exponential stabilization of eigenstates by using switching state feedback strategy for quantum spin-$\frac{1}{2}$ systems is considered in this paper. In order to obtain faster state exponential convergence, we divide the state space into two subspaces, and use two different continuous state feedback controls in the corresponding subspace. The two continuous state feedback controls form the switching state feedback, under which the state convergence is faster than that under continuous state feedback. The exponential convergence and the superiority of switching state feedback are proved in theory and verified in numerical simulations. Besides, the influence of the control parameter on the state convergence rate is also studied.

scholarly journals Exponential stabilization of spin-1/2 systems based on switching state feedback

2021 ◽  
Author(s):  
Jie Wen ◽  
Yuanhao Shi ◽  
Jianfang Jia ◽  
Jianchao Zeng
Keyword(s):  
State Feedback ◽  
Control Parameter ◽  
Exponential Convergence ◽  
Quantum Spin ◽  
The State ◽  
Exponential Stabilization ◽  
Feedback Controls ◽  
Feedback Strategy ◽  
Continuous State ◽  
Switching State

The exponential stabilization of eigenstates by using switching state feedback strategy for quantum spin-$\frac{1}{2}$ systems is considered in this paper. In order to obtain faster state exponential convergence, we divide the state space into two subspaces, and use two different continuous state feedback controls in the corresponding subspace. The two continuous state feedback controls form the switching state feedback, under which the state convergence is faster than that under continuous state feedback. The exponential convergence and the superiority of switching state feedback are proved in theory and verified in numerical simulations. Besides, the influence of the control parameter on the state convergence rate is also studied.

scholarly journals Exponential stabilization of two-level quantum systems based on continuous noise-assisted feedback

2021 ◽  
Vol 22 ◽  
pp. 103929
Author(s):  
Jie Wen ◽  
Yuanhao Shi ◽  
Jianfang Jia ◽  
Jianchao Zeng
Keyword(s):  
Quantum Systems ◽  
Exponential Stabilization ◽  
Continuous Noise
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