Role of interaction range in critical quantum metrology for long-range Kitaev chain

Abstract Long-range interacting quantum systems are useful for improving the performance of various applications of quantum technologies. In this work, we carry out a detailed analysis of how the long-range interaction affects the measurement precision in critical quantum metrology. We focus on the ground state, as it not only provides a theoretical foundation for studying dynamical critical quantum metrology, but also has great potential for practical applications. By employing the paradigmatic model of a Kitaev chain with power-law decaying interaction, we investigate the impacts of long-range interaction on the critical sensing for the scenarios with and without uncertainty in system parameters. We show that the long-range interaction can be used as a valuable resource for enhancing the sensitivity of critical parameter estimation in both scenarios. Our findings not only provide more insights into the features of the long-range interacting systems, but also verify the usefulness of long-range interacting systems in quantum metrology