Geometric Proof by Quantum Computation

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores the application of quantum computation to revolutionize geometric proof. We propose a novel quantum algorithm designed to accelerate the verification of complex geometric theorems, moving beyond the limitations of classical methods. The core mechanism relies on quantum superposition and entanglement to represent and manipulate geometric shapes, enabling the efficient execution of intricate proofs. The research focuses on demonstrating the potential of this approach to significantly reduce computational time and increase the reliability of geometric theorems. The paper details the algorithm's design, mathematical foundations, and preliminary experimental results, highlighting the significant advantages offered by quantum computation in this domain.

DOI: 10.5281/zenodo.22315489

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