Cavity-mediated generation of multipartite photonic entanglement for sensing and metrology

We study quantum state transfer between trapped Rydberg atoms and cavity photons, demonstrating robust protocols that map multipartite entanglement from matter to light. We operate with the W and the Greenberger-Horne- Zeilinger (GHZ) entangled states. We show that entanglement transfer is achievable by two routes: a fully adiabatic protocol, or a quasi-adiabatic scheme that deliberately uses nonadiabatic hops at engineered avoided crossings, implemented via continuous chirping of the cavity modes. The approach extends to other target states and offers a simple, scalable route to imprinting atomic entanglement onto propagating light, with potential impact on quantum communication, distributed computing, and precision photonic sensing.