New approach to accelerating the method of D-MORPH for the search of optimum quantum control

The article introduces new corrections of various orders of smallness to the D-MORPH method for finding the optimal control of a quantum system in the problem of realizing the desired unitary evolution by using the complete expression of the derivative of the operator exponent defined on the Lie algebra. Inclusion of the corrections with regard to information on the commutators of the Hamiltonian system into the method leads to faster identification of optimal control, even in comparison with the improved version of the method published by the author earlier.