Dridi Ghassen, Liu Kaipeng, Guérin Stéphane
Institut Supérieur des Sciences Appliquées et de Technologies de Gafsa, Université de Gafsa, Campus Universitaire Sidi Ahmed Zarroug, Gafsa 2112, Tunisia.
Laboratoire de matériaux avancés et phénomènes quantiques, Université de Tunis El Manar ll, Faculté des Sciences de Tunis, Tunis 2092, Tunisia.
Phys Rev Lett. 2020 Dec 18;125(25):250403. doi: 10.1103/PhysRevLett.125.250403.
We develop an inverse geometric optimization technique that allows the derivation of optimal and robust exact solutions of low-dimension quantum control problems driven by external fields. We determine in the dynamical variable space optimal trajectories constrained to robust solutions by Euler-Lagrange optimization; the control fields are then derived from the obtained robust geodesics and the inverted dynamical equations. We apply this method, referred to as robust inverse optimization (RIO), to design optimal control fields producing a complete or half population transfer and a not quantum gate robust with respect to the pulse inhomogeneities. The method is versatile and can be applied to numerous quantum control problems, e.g., other gates, other types of imperfections, Raman processes, or dynamical decoupling of undesirable effects.
