Quantum Control Theory: A Non-Linear Optimization Approach
Jincheng Zhang
Abstract
This paper investigates the application of non-linear optimization techniques to the field of quantum control theory. The core claim is that non-linear optimization provides an effective framework for precisely controlling quantum systems, enabling accurate quantum operations. This is achieved by formulating quantum control problems as non-linear optimization tasks, allowing for targeted manipulation of quantum states. The work explores the theoretical foundations and potential benefits of this approach, highlighting its novelty in the context of existing quantum control methodologies. The paper details the methodology for translating quantum control objectives into an optimized problem, focusing on the mathematical framework and key considerations for successful implementation. Ultimately, this research contributes to the development of more robust and precise quantum control strategies.