Quantum State Simulation via Non-Linear Topological Structure

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum state simulation is a fundamental challenge in quantum computing and quantum information science. Traditional methods often rely on approximations and classical algorithms, limiting our ability to fully explore and understand complex quantum systems. This paper proposes a novel quantum state simulation approach that leverages the inherent non-linear topological structure of quantum states to provide a fundamentally different method for simulating quantum systems. We introduce a new simulation framework that dynamically generates and analyzes topological structures within the quantum state space, enabling a deeper and more accurate understanding of quantum phenomena. The core mechanism centers around representing the quantum state as a topological manifold, allowing for the simulation of quantum evolution through the manipulation of this manifold's topology. This approach offers a unique pathway to predict and interpret quantum system behavior, moving beyond classical approximations.

DOI: 10.5281/zenodo.22265898

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