Self-Adaptive Topological Transformation Algorithm for Quantum Computing
Jincheng Zhang
Abstract
This paper introduces a novel self-adaptive topological transformation algorithm designed for efficient execution of quantum computations on quantum computers. Traditional topological transformation algorithms often rely on static transformations, limiting their flexibility and performance. This work proposes a dynamic approach to topology, adjusting the topology structure during computation to optimize quantum circuit performance. The core mechanism involves iteratively refining the topology through a series of adjustments, ultimately achieving improved efficiency and scalability. We detail the algorithm's architecture, mathematical framework, and empirical validation results, demonstrating its potential to significantly enhance quantum computing capabilities. The paper concludes with a discussion of future research directions and potential applications.