Generating photonic repeater graph states from T center defects in silicon

Photonic repeater graph states are proposed as elementary units in quantum networks and distributed quantum computation. In this work, we consider T center defects in silicon as quantum emitters that, combined with nearby nuclear spins, can generate arbitrarily large photonic repeater graph states. We model the effect of noise as it affects two main components of the generation protocol: an entangling emitter-ancilla CZ gate and emitter measurements. We demonstrate how the fidelity of these operations impacts the fidelity of the global entanglement and how it scales with graph state size.