Quantum State Adaptive Geometry Mapping
Jincheng Zhang
Abstract
Quantum state adaptive geometry mapping is a novel approach to control and optimization of quantum systems by leveraging the inherent nonlinear properties of quantum states. This paper introduces a new algorithm that utilizes these properties to precisely control and map the internal geometry of a quantum system, offering a fundamentally different approach compared to traditional geometry mapping techniques. We demonstrate the effectiveness of this method through simulations, showcasing its ability to achieve precise state manipulation and topology changes. The core mechanism centers around a dynamically adjusted mapping function that responds to the quantum state's dynamics, ensuring accurate and efficient control.