Quantum Topology: Adaptive Geometric Topology for Nonlinear Quantum Computation

Jincheng Zhang

Published Sep 5, 2026• 0 citations

Abstract

Quantum topology, a fascinating field of mathematics, offers a powerful framework for understanding the behavior of quantum systems. This paper explores the potential of utilizing adaptive geometric topology to model quantum geometry, specifically focusing on the analysis of non-linear quantum computations. We propose a novel computational model based on this approach, aiming to address limitations of existing methods. The core mechanism involves exploiting the inherent properties of non-linear geometry to predict and analyze quantum system dynamics, ultimately leading to a new quantum computation framework. This work represents a significant step towards advancing the development of robust and scalable quantum algorithms.

DOI: 10.5281/zenodo.22314309

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