Shortcut engineering for accelerating topological quantum state transfers in optomechanical lattices
Jin-Kang Guo, Jin‐Lei Wu, Ji Cao, Shou Zhang, Shi‐Lei Su
Abstract
We propose several schemes with diverse optional types of couplings to accelerate adiabatic topological quantum state transfers (QSTs) in optomechanical lattices (OMLs) by utilizing shortcut engineering, which hold significant promise for constructing topologically protected quantum networks. We first investigate the counterdiabatic (CD) schemes of shortcut to adiabatic topological QST in a small OML consisting of five sites. We show that a perfect QST can be achieved with either the full or the partial-CD terms, and the QST duration can be reduced to about one-tenth of that in the adiabatic version. To circumvent the next-nearest-neighbor couplings in the CD shortcut schemes, the detuning-induced transitionless-quantum-driving scheme is proposed and improved by incorporating the technique of soft quantum control, for which the auxiliary shortcut coupling becomes a nearest-neighbor hopping when considering a cyclic OML. We find that all shortcut schemes can maintain robustness of the adiabatic topological QST against disorders to a great extent, and more importantly, due to the much shorter duration, the shortcut schemes can guarantee a higher efficiency of QST when decay of the OML is taken into account. Finally, we expand the size of OML and propose a more general method by engineering an optimal coupling parameter to speed up the adiabatic topological QSTs, which can significantly shorten the QST duration, especially in large-scale OMLs.