Quantum-Inspired Cryptographic Key Generation Based on Random Walk Dynamics

Abstract

This paper proposes a novel approach to cryptographic key generation utilizing quantum-inspired random walk dynamics. Traditional key generation methods often rely on deterministic algorithms susceptible to attacks. We introduce an algorithm where key generation is driven by a random walk process, mimicking the probabilistic nature of quantum mechanics. The core of our method lies in the manipulation of the movement probabilities within the random walk, incorporating concepts like superposition and interference to create a significantly more unpredictable and robust key generation process. The resulting keys are generated through a series of iterations where the walker's position is determined by a probability distribution influenced by multiple potential pathways. We demonstrate that this approach can produce keys with enhanced security properties compared to conventional methods, offering a potential defense against attacks targeting predictable key generation processes. The algorithm's success is evaluated through simulations demonstrating its resistance to various attack vectors. The key mathematical formulation and algorithmic steps are presented in detail, outlining the core principles and operational mechanics of the proposed system. Furthermore, we explore the theoretical underpinnings of the method, linking it to concepts in quantum probability and random walk theory.