Collision Resistance of the OAM-based Quantum Hashing

Recently we have proposed an adapted version of the quantum hash function that minimizes quantum state engineering and experimentally verified the collision resistance of such function. The proposed construction describes a quantum hash as a sequence of single-photon states using orbital angular momentum (OAM) encoding that is a promising platform for optical quantum technologies. In this paper we give an existence proof for parameter sets that will guarantee a very high collision resistance for OAM-based quantum hash function.