Nonlinear Geometry Topological Structures for Quantum Entanglement Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

This paper explores the potential of nonlinear geometry topological structures to revolutionize quantum entanglement computation. Traditional quantum computation relies heavily on quantum gates and algorithms, while quantum entanglement presents a fundamental challenge – the precise modeling and manipulation of this fragile quantum phenomenon. We propose a novel computational framework centered around "Quantum Topological Trees" – a dynamic structure that translates the inherent properties of entanglement into a flexible and adaptable topology. This framework, coupled with algorithmic optimizations, aims to surpass the limitations of current quantum computation by enabling more complex information processing. The core claim is that this approach can accurately simulate and control quantum entanglement, opening up possibilities for advanced information handling. We detail the proposed mechanism, emphasizing the benefits of the dynamic topology in enhancing entanglement dynamics. This work addresses a crucial gap in current quantum computing by integrating a fundamentally new topological approach to entanglement manipulation.

DOI: 10.5281/zenodo.22188476

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