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Applications of Stochastic Processes in Quantum cryptography for Secure Cryptographic Protocols


Abstract

Quantum cryptography offers higher security than traditional cryptography but faces challenges due to noise and interference. Stochastic processes, particularly randomness and uncertainty, provide tools to model and protect quantum systems. This review paper explores the role of stochastic processes in quantum cryptography, focusing on quantum entanglement and secure protocols like Quantum Key Distribution (QKD). Key stochastic concepts, including probability distributions, Markov processes, and noise effects in quantum mechanics, are introduced. The research examines how stochastic models enhance performance and security in entanglement-based protocols while addressing challenges such as noise, decoherence, scalability, hardware limitations, and attack vulnerabilities. Potential research directions include efficient quantum error correction, quantum networking, and integrating classical and quantum cryptography to improve security and practicality


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