Adaptive Topological Transformation Algorithm for Quantum Computing (ATTC)

Jincheng Zhang

Published Sep 7, 2026• 0 citations

Abstract

This paper introduces an Adaptive Topological Transformation Algorithm (ATTC) for quantum computing, designed to dynamically manipulate quantum states. Traditional quantum computation often relies on static state representations, limiting the ability to precisely simulate quantum system behavior. The ATTC leverages topological transformations, a powerful tool in quantum geometry, to optimize quantum states for enhanced efficiency and robustness. This algorithm dynamically adjusts the quantum state structure during a transformation process, resulting in improved performance metrics. The core mechanism focuses on optimizing the quantum state's geometry through a series of carefully designed topological operations. This innovation promises to significantly improve the capabilities of quantum algorithms, particularly in areas requiring precise modeling and dynamic adaptation. We present a comprehensive analysis of the ATTC's design and performance, demonstrating its potential to advance quantum computing paradigms.

DOI: 10.5281/zenodo.22584471

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