Quantum Topology: Adaptive Topological Deformations

Jincheng Zhang

Published Aug 29, 2026• 0 citations

Abstract

Quantum topology, a rapidly developing field of physics, offers a unique approach to simulating quantum systems. This paper introduces an innovative algorithm, Adaptive Topological Deformations (ATD), that leverages quantum topology's inherent self-adaptation to dynamically shape quantum states. The core mechanism of ATD focuses on establishing and maintaining a self-consistent topology through a series of carefully orchestrated quantum transformations. This dynamic reshaping, driven by quantum properties, promises to enhance the efficiency and accuracy of quantum computation. We present a theoretical framework and preliminary experimental results demonstrating the algorithm's potential to overcome limitations of existing topological simulation techniques. This work explores the implications of self-adaptive topology on the design of robust quantum algorithms.

DOI: 10.5281/zenodo.22152970

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