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Hu, Juju; Ji, Yinghua; Xue, Qin

Real-time quantum feedback control: manipulatingquantum state in non-Markovian system. (English) Zbl 1428.81108

Int. J. Theor. Phys. 58, No. 10, 3394-3405 (2019).
Summary: In this paper, we propose a closed-loop real-time feedback design for manipulating a quantum state to a target eigenstate via sequential measurements. To this end, based on the Lyapunov stability theorem, considering the controllability and convergence of the system, we select one measured observable and two control channels, which feedback part of the output signal to the input end, forming a closed-loop control. By dynamical programming, we find the optimal parameters to achieve state transfer with a high probability by real-time feedback control. Numerical simulation experiments show that, in a stochastic quantum system with non-Markovian noise, the real-time control strategy moves the system from initial state to the target eigenstate with fast convergence.

MSC:

81S25 Quantum stochastic calculus
81Q93 Quantum control
93B52 Feedback control
93D15 Stabilization of systems by feedback
81P15 Quantum measurement theory, state operations, state preparations
93D05 Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory

Keywords:

stochastic quantum systems; feedback control; state transfer; non-Markovian
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Full Text: DOI

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