基于量子拓扑的非局域计算框架
Jincheng Zhang
Abstract
This paper introduces a novel framework for non-local quantum computation based on quantum topology. Traditional quantum computation often restricts itself to local, gate-based operations, limiting its potential for complex, non-intuitive algorithms. We propose a quantum topology-driven framework that leverages the unique properties of quantum entanglement and topology to enable algorithms with enhanced expressive power and adaptability. This framework offers a fundamentally different approach to quantum computation, potentially unlocking new possibilities for complex problem-solving and exploring applications beyond the scope of standard quantum algorithms. The core mechanisms involve the creation of topological quantum circuits, utilizing entanglement to perform operations that are inherently non-local, and the design of algorithms that exploit these topological properties for enhanced computational capabilities. This work investigates the potential of this framework to expand the landscape of quantum computation and explores its applicability to various non-local tasks.