Probabilistic Constrained Optimal Control for Quantum System

  Recent technological progress has prompted significant interest in developing the control theory of quantum dynamics. Following the increasing interest in the control of quantum systems, this study deals with the control problem of the Schrödinger equation under stochastic perturbations. The objective of this study is to propose a design method of optimal control for the Schrödinger equation with finite approximation under probabilistic constraints. For this purpose, the two-sided Chebyshev's inequality is applied to successfully handle probabilistic constraints with less computational load.

  This research is supported in part by Japan Society for the Promotion of Science, Grant-in-Aid for Young Scientists (B) 24760334 and Grant-in-Aid for Scientific Research (B) 24360165.

  • to be submitted for publication