Title: Quantum-Enhanced Geometric Topology (QGET)

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Quantum-Enhanced Geometric Topology (QGET) explores the potential of quantum entanglement to fundamentally alter geometric topology through the creation of interconnected, entangled structures. This paper proposes a novel approach that utilizes entanglement to establish bridges between geometric shapes, leading to enhanced analysis and manipulation capabilities. The core mechanism involves introducing entanglement between geometric points, resulting in a network of interconnected shapes that exhibits enhanced properties compared to traditional topological methods. The research delves into the theoretical underpinnings of this approach, examining its potential impact on geometric structure and exploring avenues for further investigation. This work represents a significant departure from conventional topological research, incorporating quantum mechanics to unlock new levels of understanding and control over geometric systems.

DOI: 10.5281/zenodo.22317319

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