Title: Non-Euclidean Geometry for Quantum Simulation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of non-Euclidean geometry as a fundamental building block for quantum simulation, aiming to overcome limitations of current Euclidean-centric approaches. The core claim is to develop a novel algorithm, the "Quantum Manifold Algorithm," that dynamically generates complex multi-dimensional manifolds to represent and manipulate quantum systems, exploiting the inherent parallelism of quantum mechanics. We will detail the algorithm's methodology, its potential benefits in terms of computational tractability and the ability to simulate quantum phenomena with geometries beyond the standard Euclidean framework. The research will also address the challenges and future directions for this approach.

DOI: 10.5281/zenodo.22188234

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