Pure state switching feedback control for stochastic open quantum systems

For the case that the target states are pure states, a switching control which is composed of a constant control and a control law based on Lyapunov control method is designed for the finite dimension stochastic open quantum system. The state transfer and convergence control of the system can be realized. The Lyapunov function is the state distance of the system. The constant control is used to drive the state of the system from the initial state to the convergence region containing the target state, and the Lyapunov control is used to make the state in the convergence region continue to converge to the desired target state. The proposed control method is applied to a 2-qubit stochastic open quantum system, and the performance is compared with the switching control law of eigenstates. The experimental results show the effectiveness of the proposed control law. © 2022, Editorial Department of Control Theory & Applications South China University of Technology. All right reserved.