Pulse optimization in adiabatic quantum computation and control

Abstract: We present a pulse optimization method for accelerating adiabatic control protocols, including adiabatic population transfer and adiabatic quantum computation. Our method relies on identifying control pulses under which the evolving quantum system adheres to its instantaneous ground state. Our method is both efficient -- by using advanced gradient-free optimization tools and robust -- by utilizing analytic adiabatic solutions in defining the cost function for quantum optimal control (QOC). To demonstrate the generality of our approach, we run digitized adiabatic protocols with superconducting qubits on the IBM quantum platform and numerically simulate adiabatic algorithms for solving graph optimization problems with Rydberg atom arrays.