Nonlinear Topological Geometry and the Association with Quantum Entanglement

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

This paper explores the synergistic relationship between non-linear topological geometry and quantum entanglement. We propose a novel quantum communication protocol leveraging the unique properties of topological structures to achieve significantly enhanced quantum information processing capabilities. This protocol focuses on manipulating quantum states through non-linear transformations, effectively circumventing limitations inherent in traditional entanglement-based schemes. The core mechanism involves the design and implementation of a quantum state characterized by a dynamically evolving topological structure, enabling the establishment of robust and efficient quantum entanglement channels. This work investigates the potential of this approach to revolutionize quantum communication and computation, particularly in the context of ultra-high-speed data transmission and complex calculations. We demonstrate, through theoretical analysis and preliminary simulations, the feasibility and advantages of this approach.

DOI: 10.5281/zenodo.22314973

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