Theory of control of quantum systems

Shuang Cong

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.

Daoyi Dong

Aiming at development trend of quantum communication and quantum computing,the importance embranchment of quantum system science——quantum control theory is expounded.Quantum control theory is a brand-new interdiscipline,which mainly studies the control of quantum states for systems in the microworld.First,quantum control theory is elicited through quantum information theory.Then in turn the definition,characteristics,current research state and research contents of quantum control are systemically expounded.And at last some new ideas for advanced research are proposed.

G. Huang

Shuang Cong

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.