Equivalence between local tracking procedures and monotonic algorithms in quantum control

The computer simulations of quantum control use several approaches including local tracking procedures that prescribe the controlling field through the requirement that a certain functional be decreasing and monotonic algorithms that solve the Euler-Lagrange equations for a predefined cost functional. While different in implementation, recent works [1] hinted that these two classes share some common characteristics. We propose in this contribution a rigorous ground for such conclusions and discuss the precise formulation that allows to construct this equivalence.