Non-Linear Geometric Topology and Quantum Computing: A Unified Approach

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Exploring quantum effects within non-linear geometric topology, and applying them to optimization algorithms in quantum computing, represents a significant advancement in the field. This paper investigates a novel framework for representing and manipulating topological structures using quantum entanglement, aiming to bridge the gap between classical geometry and the computational power of quantum algorithms. The core mechanism involves constructing a geometric topology framework predicated on quantum state evolution, and integrating it with existing quantum algorithm techniques to achieve enhanced optimization capabilities. The study highlights the potential of this integrated approach to unlock new possibilities in both geometric and computational realms.

DOI: 10.5281/zenodo.22276342

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