Geometry Topology and Quantum Computation: A Non-Linear Mapping Approach

Jincheng Zhang

Published Sep 4, 2026• 0 citations

Abstract

This paper explores the intersection of geometry topology and quantum computation through the development of a novel non-linear mapping algorithm. The core focus lies in investigating how geometric topology can provide a framework for optimizing quantum states and facilitating the manipulation of quantum parameters. The research aims to design an efficient algorithm leveraging the inherent properties of geometric topology to address challenges inherent in quantum computation, particularly regarding parameter tuning and state transformations. We present a mechanism focusing on the application of topological invariants and their influence on quantum state evolution. The paper details the theoretical underpinnings, the algorithm's design, and preliminary experimental results that demonstrate the potential of this approach. The investigation highlights the role of geometric topology in enhancing the robustness and control of quantum systems.

DOI: 10.5281/zenodo.22293828

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