Title: Topological Optimization Field Theory for Quantum State Evolution

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper introduces a novel topological optimization field theory for quantum state evolution, offering a fundamentally different approach compared to traditional quantum mechanics. We propose a model where the quantum state is treated as a topological structure, allowing for the use of sophisticated optimization algorithms to determine the evolution path of the system. This system avoids the limitations inherent in classical physics, potentially unlocking new capabilities in quantum computation and information processing. The core mechanism involves defining a set of topological transformations that govern the state's evolution, and employing an optimization process to find the most stable and efficient pathway. We demonstrate the efficacy of this framework through illustrative examples, showcasing its ability to predict and control quantum system evolution with unprecedented precision. This work represents a significant step toward a more robust and versatile approach to quantum system modeling.

DOI: 10.5281/zenodo.22244237

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