Title: Geometric Proof of Concept for Novel Quantum Algorithms

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

This paper presents a geometric proof of concept demonstrating the correctness and efficiency of a novel quantum algorithm, tentatively named "Hyper-Correlation Algorithm" (HCA). The core of the proof relies on constructing a formal geometric model that visualizes and analyzes the algorithm's steps, establishing a rigorous foundation for verification and potential practical application. The model, while currently simplified, aims to capture the essential dynamics of the algorithm's operations. We will explore the mathematical framework underpinning the HCA, including key geometric transformations and relationships. The paper concludes with a discussion of the potential benefits of this geometric approach to quantum algorithm validation.

DOI: 10.5281/zenodo.22472097

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