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.
@article{arxiv.1607.06422,
title = {Quantum Information with Even/Odd States of Orbital Angular Momentum of Light},
author = {Chithrabhanu Perumangatt and Nijil Lal and Ali Anwar and Salla Gangi Reddy and R. P. Singh},
journal= {arXiv preprint arXiv:1607.06422},
year = {2017}
}