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

Abstract

A high-spin nucleus coupled to a color center can act as a long-lived memory qudit in a spin-photon interface. The germanium vacancy (GeV) in diamond has attracted recent attention due to its excellent spectral properties and provides access to the ten-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 spin into any eigenstate on a $\mu$s timescale and with a fidelity of up to $\sim 84\%$. Our results establish the ${}^{73}$GeV as an optically addressable high-spin quantum platform for a high-efficiency spin-photon interface as well as for foundational quantum physics and metrology.

8 pages, 4 figures

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• High-fidelity projective readout of a solid-state spin quantum register
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Cited by in corpus (3)

• Quantum Error Correction of Qudits Beyond Break-even
• Qubit-qudit entanglement transfer in defect centers with high-spin nuclei
• High-fidelity control of a ${}^{13}$C nuclear spin coupled to a tin-vacancy center in diamond