Based on Quantum State Algorithms: A Theoretical Foundation
Jincheng Zhang
Abstract
This paper explores the theoretical foundations of algorithms optimized through quantum state manipulation. We introduce a novel approach leveraging quantum state transformations to fundamentally alter the algorithm's process, aiming to significantly enhance efficiency. The core mechanism involves reshaping the quantum state to guide the optimization, offering a potential paradigm shift in algorithm design. This work presents a theoretical framework and outlines initial algorithm development, emphasizing the potential of quantum state optimization for enhancing existing algorithms. The paper concludes with a discussion of the challenges and future research directions in this burgeoning field.