Title: Non-Linear Diffusion of Information through Quantum Entanglement

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the potential for non-linear diffusion of information through quantum entanglement, aiming to demonstrate a mechanism for unexpected system behavior. The core focus is to investigate how entanglement can propagate information, potentially creating feedback loops that fundamentally alter system dynamics. Traditional models often assume linear propagation, but this work challenges this assumption, proposing a novel approach to understanding information flow in complex quantum systems. We detail a theoretical framework centered on entanglement-induced dynamics, utilizing a modified Hamiltonian to model the system's evolution. The analysis will involve simulations to assess the impact of these dynamics on observable system behavior, specifically examining a system exhibiting a non-linear response to initial conditions. The goal is to provide a rigorous mathematical framework for understanding and potentially manipulating this phenomenon, potentially leading to advancements in quantum information processing and cryptography.

DOI: 10.5281/zenodo.22297971

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