Quantum State Dynamics: A Dynamic Topology-Based Transformation Algorithm

Jincheng Zhang

Published Sep 3, 2026• 0 citations

Abstract

Quantum state dynamics is a rapidly evolving field with significant implications for quantum information processing and quantum technologies. This paper introduces a novel dynamic topology-based transformation algorithm, designed to facilitate the complex evolution of quantum systems through adaptive state transformations. The algorithm leverages the principles of quantum topology, enabling the simulation of quantum systems' evolution and prediction of future states without explicit simulation of the underlying quantum dynamics. This approach offers a significant advancement over traditional static transformation methods, promising enhanced predictive capabilities for quantum system design and control. We detail the core mechanism, explain the algorithm's operational principles, and present preliminary results demonstrating the algorithm's efficacy in manipulating quantum states.

DOI: 10.5281/zenodo.22268436

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