Abstract:
The following problem is considered in the paper: the effect on the inclusion of second order corrections on the time
step $\Delta t$ in the formulas of the improved D-MORPH method, obtained by the author in previous works, on the speed of
searching for optimal control of a quantum system in the problem of realizing the desired unitary evolution. Using the
example of calculating optimal control for the most accurate implementation of the quantum gate of controlled CNOT
negation in a system consisting of two particles with spin 1/2, it is shown that, in some cases, second-order corrections
lead to a shortening of the search time for optimal control.
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