Quantum Cryptography Using Momentum and Position Variables in a Simple Optical Arrangement

Abstract

In this work, we explore an experimental implementation of quantum key distribution (QKD) using position and momentum quantum states. By employing a setup that includes a laser, a slit, and lenses to generate a Fourier transform, we demonstrate a variation of the BB84 protocol. Our technique shows how a system with these characteristics can be implemented within a quantum framework.