Quantum Topology Optimization
Jincheng Zhang
Abstract
Quantum Topology Optimization (QTO) presents a novel approach to designing and optimizing quantum computation through the application of quantum topology. This paper introduces a novel algorithm, QTO, that leverages quantum entanglement and superposition to simulate complex topological structures within quantum systems. The core mechanism of QTO involves dynamically adjusting topological parameters using quantum optimization techniques, aiming to enhance quantum computation's efficiency and stability. This work addresses limitations of traditional optimization methods by providing a mathematically rigorous framework for manipulating quantum systems' topology. We demonstrate the effectiveness of QTO in optimizing specific quantum circuits, showcasing potential for significant improvements in both computational performance and robustness.