Design method of dynamical decoupling sequences integrated with optimal control theory

Abstract: A method for synthesizing dynamical decoupling (DD) sequences is presented, which can tailor these sequences to a given set of qubits, environments, instruments, and available resources using partial information of the system. The key concept behind the generation of the DD sequences involves not only extricating the strong dependence on the coupling strengths according to the "optimal control," but also exploiting the "refocus" technique used conventionally to obtain DD sequences. The concept is a generalized one that integrates optimal control and designing of DD sequences.