  Solid-state quantum emitters are promising candidates for the realization of
quantum networks, owing to their long-lived spin memories, high-fidelity local
operations, and optical connectivity for long-range entanglement. However, due
to differences in local environment, solid-state emitters typically feature a
range of distinct transition frequencies, which makes it challenging to create
optically mediated entanglement between arbitrary emitter pairs. We propose and
demonstrate an efficient method for entangling emitters with optical
transitions separated by many linewidths. In our approach, electro-optic
modulators enable a single photon to herald a parity measurement on a pair of
spin qubits. We experimentally demonstrate the protocol using two
silicon-vacancy center sin a diamond nanophotonic cavity, with optical
transitions separated by 7.4 GHz. Working with distinguishable emitters allows
for individual qubit addressing and readout, enabling parallel control and
entanglement of both co-located and spatially separated emitters, a key step
towards scaling up quantum information processing systems
