Programmable quantum circuits with arrays of nuclear spins*

Neutral atom arrays with Rydberg-mediated interactions have become a promising platform for quantum science applications. Alkaline earth(-like) atom (AEA) arrays have expanded the neutral atom toolbox by offering new techniques for the control of Rydberg states and opportunities for metrology, leveraging unique ultra-narrow optical "clock" transitions and isolated nuclear spins. This poster will present our analysis of the Rydberg-based omg architecture for ¹⁷¹Yb nuclear spins, which offer optical (o), ground (g), and metastable (m) qubits, all within a single atom. We additionally offer experimental progress and outlook toward the use of ¹⁷¹Yb for quantum computing and networking applications.