Title: Quantum Information Dynamics and Entanglement Propagation

Jincheng Zhang

Published Sep 1, 2026• 0 citations

Abstract

Quantum information dynamics represents a profound challenge in quantum information theory. The propagation of entangled states, a cornerstone of quantum computation and communication, often lacks a rigorously defined mathematical model. This paper proposes a novel approach to this challenge by establishing a mathematical framework for the evolution of entangled quantum states through a continuous, multi-dimensional flow of quantum information. We leverage principles of chaos theory and non-linear dynamics to model entanglement as a continuous field, enabling the propagation of information via a 'quantum flow' driven by complex, non-Markovian processes. The model aims to provide a comprehensive and tractable representation of entanglement dynamics, addressing a critical gap in our understanding of this fundamental phenomenon. The paper will detail the mathematical framework, explore its implications for quantum algorithms, and discuss potential applications in quantum information processing.

DOI: 10.5281/zenodo.22223756

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