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基于量子纠缠的拓扑几何建模框架

Jincheng Zhang

Published Sep 5, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel framework for quantum geometry modeling based on quantum entanglement. The core principle is to leverage the dynamic nature of entangled states to efficiently model and validate topological structures, with implications for quantum computing and quantum information security. We propose a method that dynamically modifies the entanglement state to induce topological changes, allowing for rapid and accurate verification. The framework utilizes a dynamic evolution of the entangled state to characterize and analyze topological properties. The benefits of this approach include enhanced modeling precision, improved efficiency, and novel verification techniques. We provide a detailed theoretical analysis and preliminary experimental validation demonstrating the framework's capabilities.

DOI
10.5281/zenodo.22322901

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Quantum computing is rapidly advancing, demanding robust verification techniques to ensure the correctness and reliability of quantum algorithms. Current verification methods often suffer from limitations in scalability and computational complexity, hindering the exploration of larger and more complex quantum systems. This paper introduces a novel quantum verification algorithm, based on adaptive topology, leveraging quantum entanglement to achieve more precise and efficient validation of geometric quantum states. The core mechanism utilizes a dynamically adjusted topology to represent and verify the state of a quantum system, effectively streamlining the verification process. We demonstrate the algorithm's effectiveness through theoretical analysis and preliminary experimental results, showcasing its potential to significantly enhance the accuracy and speed of quantum verification. The research addresses the limitations of traditional verification approaches and proposes a new paradigm for quantum system validation.