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

• DOI: 10.48550/arxiv.2309.04126
• Publication Date: 2023-01-01
• Authors: Chris Adambukulam; Brett C. Johnson; Andrea Morello; Arne Laucht
• Keywords: Quantum Physics; Condensed Matter - Mesoscale and Nanoscale Physics; Mesoscale and Nanoscale Physics (cond-mat.mes-hall); FOS: Physical sciences; Quantum Physics (quant-ph); 530

A high-spin nucleus coupled to a color center can act as long-lived memory qudit in spin-photon interface. The germanium vacancy (GeV) diamond has attracted recent attention due its excellent spectral properties and provides access the ten-dimensional Hilbert space of $I=9/2$ ${}^{73}$Ge nucleus. Here, we observe ${}^{73}$GeV hyperfine structure, perform nuclear spin readout, optically initialize into any eigenstate on $\mu$s timescale with fidelity up $\sim 84\%$. Our results establish an addressable quantum platform for high-efficiency interface well foundational physics metrology.