  We study the application of a generalized form of the level set method used
in classical physical contexts to quantum optimal control situations. The set
of OCT equations needed to keep the expectation value of an observable constant
is first discussed and the dimensionality of the actual parameter space
carefully considered. Then we see how concepts of level set methods emerge that
may help solve the inverse problem associated with designing the control
Hamiltonian with greater speed. The formal equations and the algorithm are
presented.
