Optimal control of quantum systems: An approximation based on averaging
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چکیده
We consider the optimal control problem for a (finite-dimensional) quantum system with an energy-like cost. We explore the limit of small control amplitude and construct an approximation to the two-point boundary value problem resulting from the Maximum Principle. By solving the approximate two-point boundary value problem in two examples, we argue that this limit corresponds to the limit of large transfer times. This leads to a method for an approximate solution of the optimal control problem (for large transfer times), which is numerically much more tractable than the original problem.
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تاریخ انتشار 2003