Towards high-fidelity state preparation and entanglement in a molecular tweezer array

Recently, coherent dipolar spin-exchange interactions and entanglement have been observed in molecular tweezer arrays of CaF molecules. Specifically, Bell pairs of molecules have been generated with SPAM-corrected fidelities at the ~0.8 level. In this talk, we discuss the factors that limit state preparation and Bell state fidelities, and potential solutions to address them. In detail, we report on a robust state preparation scheme that prepares optically trapped molecules into a single internal state. With regards to the coherence of spin-exchange interactions and Bell state fidelities, we identify the molecular temperature as a major determining factor, and discuss methods to further cool molecules within optical tweezers. Progress on this front could yield high-fidelity two-qubit gates and provide a competitive platform for quantum simulation and quantum information processing using ultracold molecules.