Deterministic controlled-phase gate and SWAP gate with dipole-induced transparency in the weak-coupling regime

•Universal quantum logic gates are constructed and quantum teleportation is proposed.•The dipole induced transparency of a nitrogen-vacancy center in a cavity is employed.•The schemes work well even in the bad cavity regime (Purcell regime).

We present a scheme to construct a controlled phase-flip (CPF) gate deterministically with the dipole induced transparency (DIT) of a diamond nitrogen-vacancy center embedded in a photonic crystal cavity coupled to two waveguides. Further more, a SWAP gate between a photon and an NV center in cavity is presented with the same quantum system by using the CPF gate. We then show a quantum teleportation scheme between two remote NV centers. The fidelities and efficiencies of the gates can reach relatively high values even if cavity decay and leakage are considered.