Quantum information with even and odd states of orbital angular momentum of light

- We propose to use even and odd states of orbital angular momentum (OAM) of light for quantum information tasks.
- We describe the OAM qubits and entangled states in even/odd basis and the corresponding projective operators.
- We present a method for the tomography and the Bell's inequality violation for photons entangled in even/odd OAM states.
- We also describe hyper and hybrid entanglement of even/odd OAM states along with polarization and their applications.

We address the possibility of using even/odd states of orbital angular momentum (OAM) of photons for the quantum information tasks. Single photon qubit states and two photon entangled states in even/odd basis of OAM are considered. We present a method for the tomography and general projective measurement in even/odd basis. With the general projective measurement, we show the Bell violation and quantum cryptography with Bell's inequality. We also describe hyper and hybrid entanglement of even/odd OAM states along with polarization, which can be applied in the implementation of quantum protocols like super dense coding.