Rydberg‐Atom–Interfaced Hybrid Three‐Body Entangling Gates in Quantum Network

Abstract Hybrid quantum systems provide versatile physical properties that could be qualified for high‐fidelity quantum information storage, distribution, and processing in a quantum network. This work proposes to synthesize a hybrid generalized Jaynes‐Cummings (JC) model among two mircowave (MW) cavities and a Rydberg atom, where the Rydberg transition occurs by simultaneously absorbing or emitting two MW photons distributed in different cavities. Based on this synthesized Rydberg two‐mode two‐photon JC (TMTP‐JC) model, a hybrid MW‐MW‐atom Toffoli gate is constructed with the atomic qubit encoded on two stable ground states. Furthermore, the Rydberg atom is considered as an interface in an MW‐optical quantum network and a scheme is demonstrated for generating a three‐body photonic entangled state among the two MW cavities and an optical cavity, assisted by the synthesized Rydberg TMTP‐JC interaction. The proposed setup provides a Rydberg‐state–mediated interface for constructing MW‐MW‐atom three‐qubit gates and entangling three‐body MW‐MW‐optical photons, which may bridge the gap for modular, scalable, and cross‐platform quantum networks.