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基于动态时空几何的量子算法优化

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper introduces a novel quantum algorithm optimization approach based on dynamic time-space geometry. Traditional quantum algorithm optimization often relies on static parameter adjustments, limiting the potential for improved performance. We propose a framework wherein quantum algorithm parameters are represented as dynamic spacetime geometries, allowing for intelligent parameter optimization driven by the geometric properties of these spaces. This framework leverages the inherent flexibility of these geometries to enhance the efficiency of quantum computations. The core mechanism involves constructing a dynamic spacetime geometry for each quantum algorithm and subsequently optimizing the parameters within this geometry. We demonstrate the effectiveness of this method through theoretical analysis and preliminary experimental results, showcasing significant performance gains compared to conventional approaches. The paper concludes with a discussion of the potential implications and future directions for this approach.

DOI
10.5281/zenodo.22186644

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This paper introduces a novel quantum algorithm optimization strategy based on dynamically adjusted quantum paths. Traditional quantum algorithm optimization often relies on static parameter adjustments, limiting the potential for significant efficiency gains. This work proposes a dynamic approach that intelligently adjusts quantum path parameters during the execution of a quantum algorithm, optimizing both the algorithm's efficiency and cost. We demonstrate the effectiveness of this method through a series of simulations and analysis, showcasing a substantial reduction in computational resources compared to conventional optimization techniques. The core mechanism involves a self-adaptive parameter tuning process driven by a feedback loop, continuously refining the quantum path to achieve optimal performance. The resulting algorithm exhibits improved performance metrics across a range of quantum algorithms, highlighting the advantages of this adaptive approach.
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This paper presents a novel approach to quantum algorithm optimization utilizing self-adaptive geometric constraints. Traditional optimization methods often rely on classical parameters, while this work introduces a quantum-based strategy that leverages the inherent geometric properties of quantum states to enhance algorithm efficiency and performance. We propose a framework for dynamically adjusting constraints based on the quantum state, enabling a more flexible and potentially more powerful optimization process. The core mechanism centers around the application of geometric constraints to guide the evolution of quantum circuits, resulting in improved results. This research explores the potential of quantum geometry in optimizing complex algorithms. The paper details the methodology, provides preliminary results demonstrating improvements in specific quantum algorithm instances, and discusses future directions for this field.
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