Precision enhancement in trapped ion rotation sensors

Abstract

The trapped ion rotation sensor has been shown its superiority for rotation measurement recently. Thus, we continue exploring its potential to enhance the measurement precision by analyzing quantum Fisher information. We respectively calculate the cases where the initial oscillatory states of trapped ions are coherent states and even (odd) states. It is found that the phases of these initial states can be tuned to acquire high measurement precision. In cases with phonon losses, the appropriate phases are further revealed for optimizing the rotation sensor. Moreover, our results display that, in the case of coherent superposition states, the optimal phases keep unchanged with the transmission coefficient.