The fusion of quantum chaos and nonlinear dynamics in securing image encryption

Abstract

In the rapidly evolving landscape of digital communication, the security of image data transmits paramount importance. This paper introduces a novel encryption framework that integrates the principles of quantum chaos and nonlinear dynamics to fortify image encryption processes. Recognizing the vulnerabilities inherent in conventional encryption methods, our research seeks to harness the unpredictable nature of quantum chaos alongside the complex behavior of nonlinear dynamical systems to generate robust encryption keys that are highly sensitive to initial conditions. Utilizing a mathematical model that combines the unpredictability of quantum chaotic systems with the intricate patterns of nonlinear dynamics, we develop an encryption algorithm that demonstrates superior resistance to both brute-force attacks and statistical analysis. The algorithm’s efficacy is evaluated through a series of rigorous tests, including entropy analysis, correlation coefficient assessment, and resistance to known-plaintext and chosen-plaintext attacks.