Title: Non-Local Quantum State Analysis for Dynamical Systems with Non-Linearity

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum state analysis is a fundamental tool in understanding complex dynamical systems, particularly those exhibiting non-linear behavior. Traditional approaches often struggle with high-dimensional systems due to computational complexity and the inherent difficulty in capturing complex correlations. This paper introduces a novel quantum algorithm, "Non-Local Quantum State Analysis," designed to address these challenges by leveraging quantum entanglement to explore the relationship between states across multiple dimensions, uncovering hidden patterns and dynamics. The core mechanism centers around creating entangled states that represent correlated variables, enabling the algorithm to simultaneously analyze the system's evolution across various dimensions and identify emergent behaviors. We present a preliminary demonstration of this algorithm, focusing on a simplified example of a non-linear dynamical system, illustrating its potential for revealing intricate correlations and dynamics that are often missed by classical methods. The algorithm's inherent advantages lie in its ability to directly exploit quantum correlations, offering a fundamentally different perspective on system analysis.

DOI: 10.5281/zenodo.22189565

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