Complete controllability of finite-level quantum systems

Abstract

Complete controllability is a fundamental issue in the field of control of\nquantum systems, not least because of its implications for dynamical\nrealizability of the kinematical bounds on the optimization of observables. In\nthis paper we investigate the question of complete controllability for\nfinite-level quantum systems subject to a single control field, for which the\ninteraction is of dipole form. Sufficient criteria for complete controllability\nof a wide range of finite-level quantum systems are established and the\nquestion of limits of complete controllability is addressed. Finally, the\nresults are applied to give a classification of complete controllability for\nfour-level systems.\n