arXiv:2608.11884quant-phcs.AI2026-08

用坐标条件生成图像,减少量子资源消耗并提升像素控制精度

CoQui: A Coordinate-Conditioned Quantum Implicit Generative Adversarial Network for End-to-End Image Generation

论文配图:CoQui: A Coordinate-Conditioned Quantum Implicit Generative Adversarial Network for End-to-End Image Generation
图 1 · 摘自论文原文
  • 以坐标和隐变量为输入,通过量子电路直接计算像素值
  • 在两个基准数据集上优于传统量子生成方法,且用更少量子比特
  • 适合对量子图像生成效率与精度有要求的研究者

量子生成对抗网络(QGAN)使用参数化量子电路进行图像生成,现有基于幅值的方法存在两大局限:像素位置通常由计算基索引或地址量子比特编码,导致量子资源随图像分辨率增长;同时从归一化量子态联合解码多个像素会引入概率竞争,限制像素级精确控制。为此,我们将量子图像生成重新定义为坐标条件的隐式函数学习。方法以空间坐标和隐变量为输入,通过经典嵌入网络生成依赖输入的电路参数,并在每个坐标处评估变分量子电路。像素强度直接由专用颜色量子比特的期望值获取,完整图像通过查询所有空间坐标生成。该设计将图像分辨率与地址量子比特需求解耦,避免像素间的共享概率归一化约束。我们还设计了专门的变分量子电路,为坐标条件生成提供结构归纳偏置。模拟实验在两个基准数据集上显示,本方法在视觉和定量质量上均优于基于FRQI的生成和PQWGAN,且使用更少量子比特,同时生成质量也超过对应经典基线。

原文摘要 · Abstract (English)

Quantum generative adversarial networks (QGANs) have attracted increasing attention for image generation using parameterized quantum circuits. Existing amplitude-based approaches face two key limitations: pixel locations are typically encoded by computational-basis indices or address qubits, causing quantum resources to grow with image resolution; meanwhile, jointly decoding many pixels from normalized quantum states introduces probability competition among pixels and limits precise pixel-wise control. To address these issues, we reformulate quantum image generation as coordinate-conditioned implicit function learning. Our method takes spatial coordinates and latent variables as inputs, uses a classical embedding network to generate input-dependent circuit parameters, and evaluates a variational quantum circuit at each coordinate. Pixel intensities are directly obtained from the expectation value of a dedicated color qubit, and a complete image is generated by querying all spatial coordinates. This design decouples image resolution from address-qubit requirements and avoids shared probability-normalization constraints across pixels. We further design a specialized variational quantum circuit to provide structural inductive bias for coordinate-conditioned generation. Simulated experiments on two benchmark datasets show that our method outperforms FRQI-based generation and PQWGAN in visual and quantitative quality while using fewer qubits, and also achieves better generation quality than the corresponding classical baseline.

量子生成图像生成隐式函数变分量子

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