Nonlinear Topological Geometry Quantum Computation Validation Framework

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces a novel quantum computation validation framework leveraging the inherent non-linearity of topological geometry and the quantum entanglement mechanism. We propose a new approach to quantum algorithm verification, focusing on dynamically computing and analyzing topological states. The core concept is the "拓扑量子态" – a quantum state intrinsically linked to topological structure, allowing for precise validation of quantum algorithms through their dynamic evolution. The framework aims to significantly enhance the prediction of complex quantum algorithms, ultimately facilitating more efficient quantum algorithm design. This research utilizes dynamic quantum state manipulation to test and verify the correctness and stability of quantum computations. We demonstrate the framework's efficacy through a series of simulations and analyses, showcasing its potential to improve the reliability of quantum algorithms.

DOI: 10.5281/zenodo.22271966

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