Transfer of squeezing and entanglement near the exceptional points of three coupled superconducting resonators

Continuous-variable systems have a broad range of applications in quantum information, metrology, and thermodynamics. In all these fields, dissipative dynamics can contribute to state synthesis, which motivates the incorporation of tunable elements exploring the potential benefits of open-system degeneracies, referred to as exceptional points (EPs). Here we show theoretical results for the exceptional-point engineering in a continuous-variable Gaussian system which consistis of a lossy chain of three superconducting resonators. We observe that the rich structure of branches yielding EPs can be used to identify regions in the parameter space that favor a fast and stable transfer of squeezing, entanglement, and the reset of the system. Our results shed light on the role of EPs in multimode Gaussian systems and pave the way for optimized distribution of squeezing and entanglement between different nodes of a photonic network.