Quantum State Prediction via Non-Linear Topological Structures

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

Quantum state prediction is a fundamental challenge in quantum information science, requiring accurate simulations of quantum systems. Traditional approaches often rely on approximations and classical physics, limiting their ability to accurately predict complex quantum states. This paper introduces a novel algorithm leveraging non-linear topological structures to predict quantum state evolution, providing a potential pathway to more robust and accurate simulations. We demonstrate the effectiveness of this approach through a series of theoretical analyses and preliminary simulations, suggesting a new method for understanding and predicting quantum phenomena. The core mechanism centers around constructing and analyzing topological maps to represent the potential evolution of quantum states. This approach offers a fundamentally different perspective, allowing for the exploration of complex quantum behavior with greater precision and reduced reliance on classical approximations.

DOI: 10.5281/zenodo.22244316

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