Title: Non-Euclidean Space Topology Optimization via Quantum Simulation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the application of quantum simulation to optimize the topology of non-Euclidean spaces, a significant challenge in various fields including astrophysics and cosmology. Traditional topology optimization methods often struggle with the inherent complexities of non-Euclidean geometries, leading to suboptimal results. We propose a novel approach utilizing quantum algorithms to simulate the evolution of space topology, identifying patterns and correlations crucial for achieving robust and predictive space models. This research focuses on enhancing the accuracy and efficiency of topology optimization by directly addressing the mathematical challenges posed by non-Euclidean space. The core mechanism involves employing quantum algorithms to mimic the fundamental dynamics of space geometry, revealing insights that are currently inaccessible through classical methods. The potential impact of this work lies in the development of more reliable and comprehensive space-based models, particularly in the context of astrophysical simulations and cosmological predictions.

DOI: 10.5281/zenodo.22186801

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