用量子电路生成分形图像,探索量子计算在艺术创作中的新可能。
Quantum-Circuit-Based Visual Fractal Image Generation in Qiskit and Analytics
- 基于量子线路构建量子叠加与纠缠,生成分形图像数据集。
- 利用量子特性实现传统方法难以达到的自相似图案复杂度。
- 适合对量子艺术、生成模型感兴趣的开发者与研究者。
自然界被赋予量子属性,分形在微观与宏观可观测现象中展现出引人注目的形态。分形具有尺度自相似性:放大后仍呈现整体结构。在量子系统中,概率密度或波函数在不同能量或长度尺度下可能表现出重复的干涉模式。分形由基本迭代规则(如Julia集)生成,具备无限复杂性。尽管形式简单,薛定谔方程在量子力学中能产生极其复杂的干涉与纠缠图案,尤其是在混沌量子系统中。本文提出一种结合量子线路构建的方法,生成Julia集数据集,强调叠加、随机性与纠缠作为操控生成图案的核心机制。随着量子计算应用日益广泛,将量子电路用于分形图像生成,为未来研究开辟独特方向,可应用于定制化量子艺术生态系统的生成,例如基于量子主题生成动态景观。
原文摘要 · Abstract (English)
As nature is ascribed as quantum, the fractals also pose some intriguing appearance which is found in many micro and macro observable entities or phenomena. Fractals show self-similarity across sizes; structures that resemble the entire are revealed when zoomed in. In Quantum systems, the probability density or wavefunction may exhibit recurring interference patterns at various energy or length scales. Fractals are produced by basic iterative rules (such as Mandelbrot or Julia sets), and they provide limitless complexity. Despite its simplicity, the Schrödinger equation in quantum mechanics produces incredibly intricate patterns of interference and entanglement, particularly in chaotic quantum systems. Quantum computing, the root where lies to the using the principles of quantum-mechanical phenomenon, when applied in fractal image generation, what outcomes are expected? The paper outlines the generation of a Julia set dataset using an approach coupled with building quantum circuit, highlighting the concepts of superposition, randomness, and entanglement as foundational elements to manipulate the generated dataset patterns. As Quantum computing is finding many application areas, the possibility of using quantum circuits for fractal Julia image generation posits a unique direction of future research where it can be applied to quantum generative arts across various ecosystems with a customised approach, such as producing an exciting landscape based on a quantum art theme.
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