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Quantum Topologies Calculation Algorithm

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

Quantum Topologies Calculation Algorithm (QTCA) presents a novel approach to quantum topology computation, leveraging the unique properties of quantum computing to generate complex topological structures and dynamically adjust their characteristics. This algorithm employs a hybrid approach integrating quantum position operations with an adaptive topology parameter set, offering enhanced efficiency and flexibility in simulating quantum systems. The core mechanism focuses on simulating the evolution of topology within a quantum system, utilizing the structure itself as a simplified computational tool. This research addresses limitations of traditional methods, offering a more robust and adaptable framework for exploring and manipulating topological phenomena. This work introduces a new method of quantum topology calculation that offers improved speed and scalability, opening doors to complex quantum system simulations.

DOI
10.5281/zenodo.22188213

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Quantum topology is a fascinating field of physics that explores the interplay between quantum mechanics and topology. It posits that space is not fundamentally discrete but rather emerges from the topology of its quantum states. Dynamic quantum topology provides a framework for manipulating these states, offering the potential for novel phenomena and quantum technologies. This paper introduces an innovative algorithm, Adaptive Dynamic Quantum Topology Adjustment, designed to enhance the accuracy and flexibility of quantum topology simulations. The core mechanism leverages a self-adaptive adjustment process, iteratively refining the quantum topology structure through a series of carefully orchestrated operations. This approach overcomes limitations inherent in static topological simulation techniques, offering a pathway toward more realistic and controllable quantum systems. The proposed algorithm demonstrates improved fidelity in simulating complex topological structures and provides a foundation for future advancements in quantum materials and information processing.
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