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基于动态自适应的几何群的量子计算

Jincheng Zhang

Published Aug 31, 2026• 0 citations
Publisher

Abstract

This paper investigates the potential of dynamically adaptive geometric group quantum computation to enhance quantum computing capabilities. Traditional quantum computation relies heavily on fixed qubit architectures, limiting scalability and complexity. We propose a novel framework leveraging dynamic self-adaptation within geometric group quantum algorithms, aiming to overcome these limitations. This framework integrates quantum entanglement and quantum computation principles to achieve improved performance. The core mechanism involves a carefully orchestrated evolution of the geometric group's parameters, dynamically adjusting its properties to optimize quantum state manipulation and information processing. We demonstrate a preliminary implementation of this framework, showcasing its potential for enhanced quantum algorithms and a more robust approach to quantum computation. The resulting analysis highlights the significant advantages offered by this dynamically adaptive approach.

DOI
10.5281/zenodo.22188934

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This paper introduces a novel computational framework based on dynamically adjusted quantum entanglement. Traditional quantum computation often relies on static entanglement configurations, while this approach leverages adaptive parameter adjustments to dynamically control and optimize quantum computations. The fundamental principle is to adjust the strength and distribution of entanglement between qubits, thereby influencing the algorithm's behavior and ultimately enhancing its performance. This work explores the design and implementation of a quantum algorithm utilizing this dynamic entanglement control, demonstrating its potential for improved efficiency and robustness. This algorithm aims to overcome limitations associated with fixed entanglement structures, offering a pathway towards more versatile and adaptable quantum computation.
This paper investigates the application of adaptive geometric topology optimization to self-adaptive quantum computation. Traditional quantum algorithms often rely on static mappings, limiting their capacity to handle complex geometric structures. We propose a novel algorithm that leverages the dynamic evolution of quantum states, driven by learned geometric patterns, to achieve enhanced computational efficiency. The core mechanism centers around a self-optimizing algorithm that analyzes the quantum state's geometry and adjusts its parameters to optimize performance. This approach addresses limitations of static optimization strategies by introducing a continuous, adaptive refinement process. The potential benefits include improved adaptability, enhanced control over quantum states, and potentially, higher computational throughput. This work presents a framework for dynamically sculpting the quantum state, offering a new pathway towards more efficient quantum computation.
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