Towards demonstrating heralded photonic graph state primitives using 88Sr+ trapped atomic ions

We use 88Sr+ trapped atomic ions to produce high-quality 408 nm photons for distributed quantum computing and networking applications. We have demonstrated this through a second order correlation measurement for one to six atomic emitters. Atomic emitters have been used to realize photonic graph states, which have applications in measurement-based quantum computing. However, the size of these graph states scales poorly due to limited photon collection efficiency. We, instead, aim to demonstrate building blocks for a recently proposed emitter-based heralded photonic graph state scheme. This scheme provides the blueprint for realizing large-scale graph states using emitters with poor photon collection efficiencies. We describe how we will leverage our ability to produce high-quality photons to demonstrate the first heralded graph state primitive on trapped atomic ions.