Quantum State Mapping and Topological Mapping: A Novel Approach to Quantum Device Design and Optimization
Jincheng Zhang
Abstract
Quantum state mapping, a crucial technique in quantum information processing, involves the transformation of quantum states into different mappings. This research explores the interplay between these mappings and topological mappings, proposing a novel algorithm for optimizing quantum device control through this relationship. We introduce a framework based on non-linear mapping, aiming to precisely control quantum states by iteratively refining these mappings. The core mechanism centers on the identification of optimal mappings that leverage topological properties to enhance device performance. This work provides a new perspective on quantum device design, highlighting the potential of topological mappings to guide and improve the control of quantum systems. We demonstrate the effectiveness of this approach through simulations and preliminary device design, showcasing its ability to achieve targeted control and optimize device characteristics.