Macroscopic nonlocal entanglement generation of two hybrid massive magnon systems

We investigate dynamical generation of macroscopic nonlocal entanglements between two remote massive magnon-superconducting-circuit hybrid systems. Two fiber-coupled microwave cavities are employed to serve as an interaction channel connecting two sets of macroscopic hybrid units each containing a magnon sphere and a superconducting-circuit qubit. The structure of the hybrid system allows the existence of an optimal fiber coupling strength that requests the shortest amount of time to generate a systematic maximal entanglement, which is solely dependent on the couplings of the channel with both magnon and superconducting circuit. Our theoretical results are shown to be within the scope of specific parameters that can be easily achieved with current technology. The noise effects on the implementation of systems are also treated in a general environment suggesting the robustness of our results. Our discrete-variable qubit-like entanglement theory of magnons may lead to direct applications in various quantum information tasks.