Two-qubit gates between quantum dot spins coupled by a resonator

Recent experimental work with silicon qubits has shown that it is possible, using an inhomogeneous magnetic field, to strongly couple the modes of a superconducting resonator to the spin of a single electron trapped within a double quantum dot. This suggests the possibility of realizing long-range spin-spin interactions mediated by cavity photons. We present here our theoretical calculation of the effective interaction between distant quantum dot spins coupled via a resonator and our proposed cavity-mediated two-qubit gate.