  We propose and analyze deterministic protocols to generate qudit photonic
graph states from quantum emitters. We show that our approach can be applied to
generate any qudit graph state, and we exemplify it by constructing protocols
to generate one- and two-dimensional qudit cluster states, absolutely maximally
entangled states, and logical states of quantum error correcting codes. Some of
these protocols make use of time-delayed feedback, while others do not. The
only additional resource requirement compared to the qubit case is the ability
to control multi-level emitters. These results significantly broaden the range
of multi-photon entangled states that can be produced deterministically from
quantum emitters.
