Quantum Topology for Dynamic Quantum Computation: A Novel Framework

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum topology, a rapidly evolving field of physics, offers a fundamentally different approach to understanding and manipulating quantum systems. This paper explores the potential of utilizing quantum topology to create dynamic and adaptive geometric structures for quantum computation. We propose a novel framework wherein quantum topology's inherent dynamic behavior is leveraged to generate quantum computations through iterative adjustments and optimization, enabling unprecedented levels of computational flexibility. The core mechanism centers around establishing a self-organizing geometric landscape that responds to quantum fluctuations, driving the evolution of quantum states and ultimately optimizing the computation. This research investigates the implications of this dynamic geometry on the potential for novel quantum algorithms and computational paradigms. The study highlights the significant advantages of this approach compared to traditional numerical methods and provides a conceptual framework for future exploration.

DOI: 10.5281/zenodo.22184493

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