Magneto-Optical Tweezer for Qudit Quantum Computing in ${}^{87}$Sr

Neutral atoms have become a competitive platform for quantum metrology, simulation, sensing, and computing. The rich atomic structure encoded in ${}^{87}$Sr makes it an ideal candidate for quantum information applications. Its ground state manifold hosts 10 nuclear spin states with long coherence times. Furthermore, it possesses long-lived metastable states, particularly $5s5p \ \mathrm{^{3}P_2}$, with $J=2$ yields a large magnetic dipole, suitable for fast gate operation. However, its large angular momentum also introduces large tensor and quadratic Zeeman shifts. Current magic trapping techniques are insufficient to engineer magic trapping conditions for qudits encoded in hyperfine states with $J \neq 0$. Magic trapping for qudits in this metastable state is paramount to harnessing qudits as a viable quantum resource.  In this talk we present a scheme for engineering magic trapping conditions in $ ^{3}\mathrm{P}_{2}$ by leveraging the inherent magnetic sensitivity and large angular momentum to remove spin-dependent dephasing.  We expect this technique to enable new loading protocols, enhance cooling efficiency, and increase nuclear spins’ coherence times, thus facilitating qudit-based quantum computing in ${}^{87}$Sr.