Quantum Topological Field Theory: Adaptive Geometry Mapping

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum Topological Field Theory (QTF) provides a framework for understanding quantum phenomena with inherent topological properties. This paper explores the application of QTF to adaptive geometry mapping, a crucial technique for quantum computation. We propose a novel algorithm that leverages the core concepts of QTF to dynamically adjust geometric transformations during data compression and manipulation, demonstrating enhanced adaptability and efficiency. The core mechanism centers around incorporating quantum topological field theory principles into a mapping framework. This approach offers a significant advancement over traditional methods by providing a self-adapting solution for complex geometric operations within quantum algorithms. The paper details the algorithm's design, its underlying mathematical principles, and its potential impact on quantum computing.

DOI: 10.5281/zenodo.22205493

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