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We propose a level-resolved protocol in a hybrid architecture for connectinga superconducting qubit and a magnon mode contained within a microwave cavity(resonator) to generate the local and global entangled states, enabling a widerange of applications in quantum communication, quantum metrology, and quantuminformation processing. Exploiting the high-degree of controllability in such ahybrid qubit-photon-magnon system, we derive effective Hamiltonians at thesecond- or the third-order resonant points by virtue of the strongcounter-rotating interactions between the resonator and the qubit and betweenthe resonator and the magnon. Consequently, we can efficiently generate theBell states of the photon-magnon and the qubit-magnon subsystems and theGreenberger-Horne-Zeilinger state of the whole hybrid system. We also check therobustness of our protocol against the environmental noise by the Lindbladmaster equation. Our work makes this hybrid platform of high-degree ofcontrollability a high-fidelity candidate for the realization of themaximally-entangled multiple states.

Generation of Bell and GHZ states from a hybrid qubit-photon-magnon system