Implementing Molecular Quantum Logic in a Cryogenic Ion Trap

The structure of dipolar molecular ions provides new inroads to quantum logic that do not require lasers. As such, these operations are not impaired by the usual spontaneous scattering and do not require motional ground-state cooling typical of trapped atomic ions. We will present calculations regarding the application of dipole-phonon quantum logic (Phys. Chem. Chem. Phys., 2020, 22, 24964-24973) and electric-field gradient gates (PhysRevA. 2021, 104, 042605) to trapped molecular ions with an eye towards robust quantum logic operations with high fidelity. We will also describe a recently constructed cryogenic ion trap system for exploring these operations.