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The recent realization of a coherent interface between a single electron in asilicon quantum dot and a single photon trapped in a superconducting cavityopens the way for implementing photon-mediated two-qubit entangling gates. Inorder to couple a spin to the cavity electric field some type of spin-chargehybridization is needed, which impacts spin control and coherence. In this workwe propose a cavity-mediated two-qubit gate and calculate cavity-mediatedentangling gate fidelities in the dispersive regime, accounting for errors dueto the spin-charge hybridization, as well as photon- and phonon-induced decays.By optimizing the degree of spin-charge hybridization, we show that two-qubitgates mediated by cavity photons are capable of reaching fidelities exceeding90% in present-day device architectures. High iSWAP gate fidelities areachievable even in the presence of charge noise at the level of$2\,\mu\text{eV}$.

Optimized cavity-mediated dispersive two-qubit gates between spin qubits