Fast Landau-Zener-Stückelberg-Majorana quantum logic gates

The most common realization of quantum gates and control is based on Rabi oscillations, which cause a periodic resonant excitation of the system. However, certain limitations may arise under resonant driving, including achievable gate speeds and additional complications, like counter-rotating terms.  We study a qubit control technique based on Landau-Zener-Stückelberg-Majorana (LZSM) interferometry, which allows a complementary approach to quantum control based on non-resonant driving with the alternation of adiabatic evolution and non-adiabatic transitions. Compared to the Rabi oscillations method, the main differences are a non-resonant excitation frequency and a small number of periods in the external excitation. This allows us to achieve a higher speed of qubit operations without losing fidelity. Both of these characteristics have major importance for experimental realizations of quantum computers, as these define the number of quantum operations that could be performed during the coherence time of the system. We study different aspects of LZSM excitations: qubit dynamics, relaxation, and coupling with the environment. We explore related mechanisms and dynamics for a universal set of quantum operations.