Quantum Topology: Geometric Geometry Computation

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Quantum topology, a rapidly developing field, offers a novel approach to geometric computation, leveraging quantum mechanics to explore topological properties. This paper investigates the application of quantum geometry to the analysis of topological structures, focusing on the concept of geometric geometry computation. We propose a method for quantifying topological invariants using quantum entanglement and quantum state manipulation, aiming to establish a new framework for geometric analysis. The core claim is that this approach can provide a more precise and computationally efficient method for understanding and manipulating topological geometry. The research will detail the implementation of a quantum algorithm for calculating geometric invariants, explore the potential of quantum entanglement to reveal hidden topological relationships, and present preliminary results demonstrating the effectiveness of this method. This work will contribute to the burgeoning field of quantum geometry and its potential to revolutionize geometric computation.

DOI: 10.5281/zenodo.22156928

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