Local counterdiabatic driving for ground state preparation: mechanism, improvement and implementations

Counterdiabatic driving (CD), which harnesses adiabatic gauge potential, is a well-established technique for achieving shortcuts to adiabaticity in various quantum technologies, notably quantum state preparation. However, in scenarios where the exact potential incorporates complex non-local interactions, an approximate CD protocol known as local counterdiabatic driving (LCD) emerges as a viable approach to meet the physical constraints of the system. In this study, using the transverse field Ising model as an example, we explore the dynamics of the LCD protocol and its performance in preparing target ground states across different phases in the model. Our aim is to unravel the underlying mechanisms of LCD and to offer a comparative analysis against other quantum adiabatic protocols. With the knowledge of the system model, we then introduce a novel driving protocol, termed Local Counterdiabatic Driving and Local Unitary (LCDLU), designed to substantially enhance the performance of LCD. Remarkably, this method involves only local control and does not require detailed computation of system dynamics. We numerically benchmark its performance compared with adiabatic and LCD protocols. To demonstrate the practicality and efficacy of the LCDLU approach, we experimentally perform the implementation of the proposed approach on noisy quantum devices. Our work not only sheds light on the dynamics of local counterdiabatic driving but also paves the way for improved quantum state preparation protocols, offering promising avenues for the advancement of quantum state preparations.