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arXiv:2505.04261

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

Arias, Alejandro, Baptiste Sevilla

Published May 7, 2025• 0 citations
arXivHTMLPDF

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.

DOI
10.48550/arxiv.2505.04261

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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.
The secure transfer of information is an important problem in modern telecommunications. Quantum key distribution (QKD) provides a solution to this problem by using individual quantum systems to generate correlated bits between remote parties, that can be used to extract a secret key. QKD with D-dimensional quantum channels provides security advantages that grow with increasing D. However, the vast majority of QKD implementations has been restricted to two dimensions. Here we demonstrate the feasibility of using higher dimensions for real-world quantum cryptography by performing, for the first time, a fully automated QKD session based on the BB84 protocol with 16-dimensional quantum states. Information is encoded in the single-photon transverse momentum and the required states are dynamically generated with programmable spatial light modulators. Our setup paves the way for future developments in the field of experimental high-dimensional QKD.
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Abstract: Quantum Key Distribution (QKD) is a cryptographic technique that allows two parties to establish a secure communication channel by using the laws of quantum mechanics. The BB84 protocol is one of the earliest and most widely used QKD protocols that uses the properties of quantum entanglement and superposition to securely exchange cryptographic keys[3] . In this paper, we provide a detailed overview of the BB84 protocol and its implementation. We also discuss the security aspects of the protocol and its vulnerabilities. Finally, we conclude with a discussion of the future prospects and challenges in the field of quantum cryptography