Quantum Key Distribution with Entangled Photons and Error Correction
Jincheng Zhang
Abstract
This paper investigates a novel approach to quantum key distribution (QKD) leveraging the unique properties of entangled photons and incorporating robust quantum error correction (QEC) techniques. The core claim is that a QKD system employing entangled photons, coupled with advanced error correction, offers provably secure communication. The proposed system builds upon the foundational BB84 protocol, utilizing entangled photon pairs to establish a shared key. However, unlike traditional BB84, it addresses the inherent challenges posed by photon loss and detector imperfections through the implementation of a tailored quantum error correction code. The analysis presented demonstrates the effectiveness of this combined approach in significantly enhancing the key rate and overall security of the QKD system. The paper details the mathematical framework, including the BB84 protocol formulation, the characteristics of entangled photon pairs, and the specific QEC code utilized. The primary goal is to provide a rigorous theoretical foundation for a secure and practical QKD system, addressing a critical need in the field of quantum cryptography.