基于高阶几何的量子态的自适应控制
Jincheng Zhang
Abstract
This paper investigates the application of high-order geometry to quantum state control, presenting a novel approach for dynamically adjusting quantum states to enhance the performance of quantum computing. Traditional quantum state control relies on static manipulation, while this method leverages high-order geometry to achieve adaptive control. We propose a framework centered around the concept of a "geometric resonance" that allows for efficient and controlled evolution of the quantum state. The core mechanism involves the creation of a set of geometric transformations that interact with the quantum system, driving it towards a desired state. The potential benefits of this approach include increased fidelity, enhanced coherence, and the ability to tailor quantum states for specific applications. This work provides a theoretical foundation and initial experimental exploration of this promising technique.