Molecular qubits of individually trapped gas-phase molecules in optical tweezers

Advances in quantum manipulation of gas-phase molecules bring unique opportunities: the use of molecules to search for new physics; exploring chemical reactions in the ultra-low temperature regime; and harnessing molecular resources for quantum simulation and computation. I will introduce our approaches to building individual ultracold molecules in optical tweezer arrays with full quantum state control. The new technique allows us to isolate two molecular rotational states as two-level systems for qubits.  In order to preserve coherence of the qubits, we develop magic-ellipticity polarization trapping. We achieve a coherence time in excess of 100ms. Finally, we are taking advantage of the resonant dipolar interaction of molecules to entangle them with single site addressability. In combination, these ingredients allow this molecular quantum system to be fully programmable.