基于量子计算的非对称性几何验证

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the potential of quantum computing to validate fundamental geometric theorems and uncover novel geometric properties. We propose a novel algorithm leveraging quantum entanglement to simulate geometric transformations and rigorously test the core principles of geometry. The study focuses on utilizing quantum computation to verify geometric theorems and identify subtle geometric relationships not readily apparent through classical methods. This research aims to establish a new avenue for geometric research, potentially leading to breakthroughs in quantum algorithm design and theoretical understanding. The core claim is that quantum computing can provide a more precise and insightful approach to geometric verification, paving the way for new algorithms and a deeper comprehension of geometric concepts.

DOI: 10.5281/zenodo.22297708

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