Title: Adaptive Quantum Algorithm Parameter Adjustment
Jincheng Zhang
Abstract
Quantum algorithms, renowned for their potential to solve complex problems beyond classical computation, are notoriously sensitive to initial parameters. Traditional parameter adjustment methods often rely on manual tuning, which can be time-consuming and limited in their ability to adapt to the algorithm's unique characteristics. This paper presents a novel approach to quantum algorithm parameter adjustment utilizing an adaptive mechanism based on the inherent quantum state self-similarity. We propose a system that continuously monitors and adjusts key parameters within a quantum circuit, leveraging the quantum state's dynamic nature to optimize performance and stability. The core mechanism centers around a feedback loop that dynamically adjusts parameters based on the observed evolution of the quantum state. This adaptation allows for more robust and efficient parameter tuning, potentially unlocking significant improvements in algorithm execution speed and accuracy. We investigate the effects of this adaptive approach through theoretical analysis and preliminary experimental validation.