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Quantum Topology Dynamic Topology Mapping

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

Quantum Topology Dynamic Topology Mapping is a novel approach to computational geometry, leveraging the principles of quantum topology to achieve unprecedented accuracy and efficiency in geometric transformations. This research introduces a dynamic mapping algorithm based on quantum entanglement and topology, designed to overcome limitations inherent in traditional methods. The core mechanism involves utilizing quantum entanglement to establish a foundational connection between the original geometric structure and the resulting quantum state, thereby enabling the manipulation of complex transformations with significantly reduced computational cost. The algorithm's effectiveness is demonstrated through rigorous analysis and validation of its performance across a range of geometric problems. This work represents a significant advancement in computational geometry, offering a potentially transformative solution for tasks involving intricate geometric calculations.

DOI
10.5281/zenodo.22195823

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