Hybrid Rydberg quantum gate for quantum network

The high-fidelity storage, distribution, and processing of quantum information prefers qubits with different physical properties. Thus hybrid gates interfacing types are essential for the realization complex network structures. A Rydberg-atom-based controlled-Z (CZ) gate is proposed to hybridly process polarization-encoded single-photon optical qubit ``Schr\"odinger cat'' microwave qubit. degradation fidelity under influence various noise channels, such as cavity loss, spontaneous emission atom states, nonadiabaticity effect, etc., has been analyzed through detailed theoretical analysis by deriving input-output relation fields. feasibility challenges protocol within current technology also discussed analyzing possible experimental parameter settings. Our work opens prospects future large-scale architecture based on modules.