Quantum-Enhanced Geometric Proofs

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper investigates the potential of quantum computation to revolutionize geometric proof verification. The core claim is to develop a novel "Quantum Verification Protocol" that leverages quantum measurements to rigorously confirm geometric statements, offering a method for formally validating mathematical proofs that currently relies heavily on manual inspection and potentially subjective judgment. The paper explores the theoretical foundations, potential algorithms, and challenges associated with this approach, aiming to establish a new paradigm for geometric verification. We analyze the implications of quantum mechanics on geometric concepts and propose a framework for exploring this transformative technology.

DOI: 10.5281/zenodo.22193949

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