Quantum State Dynamics and Computation

Jincheng Zhang

Published Aug 31, 2026• 0 citations

Abstract

Quantum state dynamics and computation represent a significant frontier in the field of quantum information. This paper explores the potential of dynamically transforming quantum states using topological structure, offering a novel approach to complex quantum computations. We investigate a mechanism for achieving dynamic state transformations by exploiting the inherent properties of quantum states, ultimately enhancing the feasibility of intricate quantum algorithms. This research introduces a new algorithm framework centered around topological manipulation of quantum states. The paper details the core concept, the underlying mathematical framework, and preliminary results demonstrating the efficacy of this dynamic approach. We present a model demonstrating the ability to optimize a quantum circuit's performance through dynamic state adjustment. The work emphasizes the potential of this methodology to overcome limitations of static quantum state manipulation, paving the way for more versatile and efficient quantum computations. The focus is on the application of topological transformations to quantum state evolution.

DOI: 10.5281/zenodo.22197699

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