Nonlinear Quantum Geometry: Adaptive Topology Structures
Jincheng Zhang
Abstract
This paper explores the potential of nonlinear quantum geometry as a foundation for novel quantum computing architectures. We propose a model based on quantum entanglement, introducing a "quantum entanglement topology" mechanism to dynamically adjust the topology of quantum systems. This model offers a radical departure from traditional approaches by leveraging the inherent properties of entanglement, enabling the creation of complex, self-organized quantum states. The core claim is that this framework can facilitate the construction of robust and scalable quantum computers, particularly through the implementation of a fundamental layer for quantum computation. This work investigates the mathematical properties and potential applications of this proposed methodology, highlighting its unique capabilities and potential for advancing quantum information processing.