Cavity control over heavy-hole spin qubits in inversion-symmetric crystals

The pseudospin of heavy-holes confined in a semiconductor quantum dot represents a promising candidate for a fast and robust qubit. While hole spin manipulation by a classical electric field utilizing the Dresselhaus spin-orbit interaction has been demonstrated, our work explores cavity-based qubit manipulation and coupling schemes for inversion-symmetric crystals forming a planar heavy-hole quantum dot. Choosing the exemplary material Germanium, we derive an effective cavity-mediated ground state spin coupling that harnesses the cubic Rashba spin-orbit interaction. In addition, we propose an optimal set of parameters which allows for Rabi frequencies in the MHz range, thus entering the strong coupling regime of cavity quantum electrodynamics.