Non-Exchange Topological Quantum Computing Models
Jincheng Zhang
Abstract
This paper explores the potential of non-exchange topology in quantum computing, focusing on the design of a computational model leveraging quantum entanglement for topological calculations and simulation. We propose a novel approach utilizing entangled states to represent and manipulate topological structures, and subsequently develop quantum algorithms predicated on this framework. The core claim is that this model offers a fundamentally different approach to solving complex topological problems, potentially exceeding the capabilities of existing classical computational methods. This work investigates the implications of this new model for both computational and theoretical research within the field of quantum topology.