Parallel computation of the partially distributed control of the Schrodinger equation

Abstract

A parallel algorithm for the computation of the control that steers the zero state of Schrodinger equation to an arbitrary state has been investigated. The control is partially distributed on a subset of the state domain. We report the difficulties encountered, as well as the attempts to surmount them taking into account the capabilities of parallel computing facilities. We discuss the inherent parallelization of the solution to the problem and some algorithms for its implementations. The results of computations done on vectored (Cray Y-MP) and parallel machines (CM-200) are presented.