Quantum Topology: Adaptive Geometry via Entanglement-Based Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a fascinating field at the intersection of quantum mechanics and geometry, has emerged as a promising approach for developing novel quantum computing paradigms. This paper explores a novel computational framework predicated on the dynamic alteration of geometric topology induced by quantum entanglement. We introduce a model leveraging quantum entanglement to dynamically adjust the geometry of quantum systems, thereby enhancing computational efficiency and enabling new algorithmic possibilities. The core mechanism centers around the creation and manipulation of entangled states that govern the evolution of topological structures, ultimately impacting the performance of quantum algorithms. This work presents a foundational framework for exploring the potential of entanglement-driven geometry in quantum computation.

DOI: 10.5281/zenodo.22186240

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