Nonlinear Topological Geometry Quantum Computing Framework

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper introduces a novel quantum computing framework for non-linear topological geometry, enabling precise simulations and optimization of topological geometry within quantum computation. We propose a "topological computation" algorithm based on quantum entanglement and topological properties, which directly calculates ultra-high-dimensional topological geometry and leverages topological properties for optimization. This framework promises to significantly enhance computational capabilities compared to traditional methods, particularly in complex topological geometry problems. The core mechanism lies in establishing a quantum-based algorithm that harnesses quantum entanglement and topological characteristics to accelerate computation and improve precision. This paper explores the potential of this framework to tackle challenges in computational geometry and related fields.

DOI: 10.5281/zenodo.22186198

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