Based Topological Optimization of Quantum Circuit Design Method
Jincheng Zhang
Abstract
This paper presents a novel methodology for optimizing quantum circuit design utilizing topological optimization techniques. The core idea revolves around representing quantum circuits as topological networks and employing topological optimization algorithms to refine their structure. This approach aims to minimize the number of quantum gates required, thereby enhancing the efficiency and scalability of quantum computation. The research explores the potential of this method to significantly reduce circuit complexity and improve overall performance. The primary contribution lies in the application of topological optimization to the inherently complex domain of quantum circuit design, offering a potentially transformative approach to quantum computing. Mathematical formulations and key concepts are presented to illustrate the method's principles and demonstrate its feasibility.