  Over the past two decades, several molecules have been explored as possible
building blocks of a quantum computer, a device that would provide exponential
speedups for a number of problems, including the simulation of large, strongly
correlated chemical systems. Achieving strong interactions and entanglement
between molecular qubits remains an outstanding challenge. Here, we show that
the TbPc$_2$ single-molecule magnet has the potential to overcome this obstacle
due to its sensitivity to electric fields stemming from the hyperfine Stark
effect. We show how this feature can be leveraged to achieve long-range
entanglement between pairs of molecules using a superconducting resonator as a
mediator. Our results suggest that the molecule-resonator interaction is near
the edge of the strong-coupling regime and could potentially pass into it given
a more detailed, quantitative understanding of the TbPc$_2$ molecule.
