Quantum Topology for Quantum Teleportation via Non-linear Geometry: A Novel Approach to Quantum Information Processing

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a field of mathematics exploring the properties of space and its relationships, offers a potential pathway toward novel quantum information processing paradigms. This paper investigates the application of quantum topology to quantum teleportation, specifically focusing on the design of a new method for solving the quantum teleportation problem. We propose a framework that leverages the inherent structure of quantum geometry to guide the optimization of quantum states, offering a potentially more efficient and robust approach compared to traditional numerical methods. The core mechanism centers on establishing a geometric constraint derived from quantum topology to influence the solution process. This paper explores the theoretical foundations, mathematical formulation, and potential practical implications of this approach.

DOI: 10.5281/zenodo.22186208

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