Quantum Control and Multipartite Einstein-Podolsky-Rosen Steering in the Dynamical Casimir Arrays

Abstract

We design a one-dimensional dynamical Casimir array composed of multi-coupled superconducting waveguides to investigate the multipartite EPR steering. Calculating the covariance matrix of the system by using input-output relationships and obtain expressions for different modal EPR steering criteria. Research has shown that smaller temperature ratio, amplitude ratio, and coupling coefficient ratio in adjacent cavities can accelerate the sudden death of EPR steering. In addition, further research was conducted on the monogamy relations and shareability of EPR steering between different modes in one-dimensional dynamical Casimir arrays. We find that the synchronization and reversal of EPR steering, the rotation of monogamy relations and shareability between different modes can be achieved by adjusting the coupling coefficients. Our research provides important reference value for constructing multipartite EPR steering in higher dimensions and ensuring the security of quantum communication.