Core Claim: Researching adaptive geometric transformations of quantum entanglement, leveraging the entanglement of quantum states to perform complex topological transformations and explore its applications in quantum computing and quantum information processing.

Jincheng Zhang

Published Sep 6, 2026• 0 citations

Abstract

Quantum entanglement, a cornerstone of quantum mechanics, presents a unique opportunity for manipulating complex systems. This research explores the potential of adaptive geometric transformations of quantum entanglement, capitalizing on the inherent properties of entangled states to achieve intricate topological transformations. Traditional geometric transformations often struggle with the inherent complexity of topological phenomena, while our approach leverages entanglement to circumvent these limitations, offering a promising avenue for advancements in quantum computation and information processing. Specifically, we investigate a novel algorithm that dynamically adjusts the state of entangled qubits to induce desired topological transformations. This involves creating a feedback loop that continuously refines the entangled state, allowing for the implementation of sophisticated geometric operations. The core mechanism centers around the precise manipulation of topological fields through entanglement, enabling the generation of complex, non-intuitive topological structures. This work aims to demonstrate the practical viability of this approach, providing a foundation for the development of novel quantum algorithms and computational paradigms.

DOI: 10.5281/zenodo.22469743

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