Control of Quantum Systems: Theory and Methods

G. Huang

Dong Daoyi, Zonghai Chen

Perturbation theory, an important method in both classical control theory and quantum mechanics, is used to quantum control theory. Perturbation model of quantum control system with weak control input is introduced when the Hamiltonian of control system can be written into two parts: the free Hamiltonian of unperturbed system and the interaction Hamiltonian between the controlled system and its external control. As an example, the quantum control problem of oscillator control system with weak input is analyzed and its second-order approximate quantum control input is found by perturbation method.

J. W. Clark, Dennis G. Lucarelli, Tzyh‐Jong Tarn

V. F. Krotov

Mathematical theory of the quantum systems control is based on some ideas of the optimal control theory. These ideas are developed here as applied to these systems. The results obtained meet the deficiencies in the basis and algorithms of the control synthesis and expand the application of these methods.

Fangfang Meng, Shuang Cong

Abstract State transition control of open quantum systems is a research hotspot and difficulty. The control method in the light of the Lyapunov stability theory is a common method. Current research shows that if the open quantum systems meet the constraints that the free Hamiltonian is strong regular and the interaction Hamiltonian is fully connected, by devising appropriate control fields in the light of the Lyapunov stability theory, the open quantum system can move to the desired final state. In view of the fact that most practical open quantum systems do not meet these two constraints, this paper propose a control method. The implicit function perturbation terms are introduced into the control fields to resolve the problem that the open quantum systems do not meet these two convergence constraints. And the main control fields are devised in the light of the Lyapunov stability theory to make the state transition of the open quantum systems converging to the desired final state.

P. Zoller, J. I. Cirac, S. M. Girvin +1 more