Hyperentangled states are vitally important for resource economy as they have exponential encoding capabilities per quantum entity. Apart from photonic hyperentanglements, only few proposals exist based on atomic systems. The present article discusses the schematics to generate hyperentangled atomic quantum networks in both internal states and external atomic momenta via cavity QED setup using the Atomic Bragg Diffraction technique. Various graph states forming quantum networks are engineered through hyperentangled correlations encompassing quantized external momenta and internal states of the two-level atoms. First one is a star shaped graph state which is attached to n receivers. The second one is a hybrid of the star and ring graph states, taking three star networks and joining them using dispersive atom-field interactions. Experimental feasibility has also been briefly elaborated under contemporary cavity QED research scenario.

超纠缠态对于资源经济至关重要，因为它们具有每个量子实体的指数编码能力。除了光子超纠缠之外，基于原子系统的提议很少。本文讨论了使用原子布拉格衍射技术通过腔 QED 设置在内部状态和外部原子动量下生成超纠缠原子量子网络的示意图。形成量子网络的各种图态是通过超纠缠相关性设计的，包括量子化的外部动量和两级原子的内部状态。第一个是附加到n的星形图状态接收器。第二个是星形和环形图状态的混合，采用三个星形网络并使用色散原子场相互作用将它们连接起来。还简要阐述了当代腔 QED 研究场景下的实验可行性。