The Turnpike Solutions in the Quantum Systems Control Problem

The optimization problem in a spin chain on the basis of Shr¨odinger equation is considered. The hamiltonian of the equation contains a combination of linear and nonlinear controls. Using the the degenerate problems theory, the problem is reduced to a regular derived problem. This transformation essentially increases the effectiveness of its investigation by iterative methods. The procedure is demonstrated in computational experiments with the use of visual example.