Dynamic Topology and Quantum Computing: A Fusion Paradigm
Jincheng Zhang
Abstract
This paper explores the integration of dynamic topology and quantum computing, investigating the potential for leveraging quantum computation to accelerate and enhance the computation of complex topological structures. We propose a novel framework for quantum state-based topology, aiming to provide precise modeling and prediction of topological evolution. The core claim is that quantum computations, particularly those utilizing quantum entanglement and the precise manipulation of quantum states, can fundamentally change the landscape of topological field theory, offering a pathway to new computational models and potentially unlocking advanced quantum computation capabilities. The study will detail the design of a quantum computation framework centered around quantum entangled states, focusing on the precise modeling of topological changes and the prediction of future states.