Geometric Proof by Quantum Simulation of Complexity

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

This paper introduces a novel approach to geometric proof, employing quantum simulation as a powerful tool to uncover hidden relationships within complex systems. We propose a method that utilizes quantum entanglement to generate simulated states and analyze the resulting patterns, ultimately leading to geometric theorems. The core mechanism involves simulating a system using a quantum algorithm, allowing for the discovery of underlying geometric structures that can be translated into proofs. The research aims to overcome limitations in current geometric proofs by introducing a quantum-driven methodology capable of revealing previously inaccessible connections. This work represents a significant step towards automated geometric discovery, offering a potential paradigm shift in the field.

DOI: 10.5281/zenodo.22272554

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