Quantum CNOT gates with orbital angular momentum and polarization of single-photon quantum logic

We propose a polarization-controlled-NOT (P-CNOT) gate and an orbital-angular-momentum-controlled-NOT (OAM-CNOT) gate for single-photon two-qubit quantum logic. Both of the controlled-NOT (CNOT) gates are simple and deterministic. Moreover the entanglement swap between polarization and orbital angular momentum (OAM) can be realized using the P-CNOT gate and the OAM-CNOT gate.