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A high-spin nucleus coupled to a color center can act as a long-lived memoryqudit in a spin-photon interface. The germanium vacancy (GeV) in diamond hasattracted recent attention due to its excellent spectral properties andprovides access to the 10-dimensional Hilbert space of the $I = 9/2$${}^{73}$Ge nucleus. Here, we observe the ${}^{73}$GeV hyperfine structure,perform nuclear spin readout, and optically initialize the ${}^{73}$Ge spininto any eigenstate on a $\mu$s-timescale and with a fidelity of up to $97 \pm3\%$. Our results establish ${}^{73}$GeV as an optically addressable high-spinquantum platform for a high-efficiency spin-photon interface as well as forfoundational quantum physics and metrology.

Hyperfine spectroscopy and fast, all-optical arbitrary state  initialization and readout of a single, ten-level ${}^{73}$Ge vacancy nuclear  spin qudit