Quantum Annealing Optimization Algorithm via Topological Quantization
Jincheng Zhang
Abstract
This paper introduces a novel approach to quantum annealing optimization algorithms by integrating topological quantization. The core idea is to discretize the annealing path into a series of topological states, leveraging quantum entanglement to facilitate precise control over the system's evolution and ultimately enhance optimization performance. The method aims to overcome limitations inherent in traditional quantum annealing by providing a more granular and controllable mechanism for traversing the energy landscape. We demonstrate that this topological quantization approach leads to improved convergence speed and potentially higher solution accuracy. The theoretical framework and associated mathematical formulations are presented, outlining the key principles and operational details of the algorithm. This work represents a significant step toward realizing the full potential of quantum annealing for complex optimization problems.