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Quantum Topology: Adaptive Geometric Transformations for Quantum System Simulation

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

Quantum topology, a burgeoning field, offers a novel approach to modeling quantum systems by exploiting their inherent topological properties. This paper explores the application of adaptive geometric transformations, derived from quantum topology principles, to enhance the simulation and optimization of quantum systems. We propose a mechanism that leverages the self-similarity inherent in quantum topology to dynamically adjust the system's geometry, ensuring stability and facilitating optimization. The core claim centers on the development of a robust and adaptable system for simulating complex quantum systems, offering a significant advancement beyond traditional optimization techniques. This work aims to provide a foundation for exploring novel quantum simulations utilizing the principles of self-similarity and geometric optimization.

DOI
10.5281/zenodo.22188265

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