论文标题
数字RGB图像的混合图表
A hybrid-qudit representation of digital RGB images
论文作者
论文摘要
量子图像处理是量子信息和技术领域的新兴主题。在本文中，我们提出了RGB图像的新量子图像表示形式，这是使用最低资源的所有现有表示形式的改进。我们使用构成7个Qutrits的两个纠缠量子寄存器来编码颜色通道及其强度。此外，我们通过使用Qubits和Qutrits编码矩形图像的像素位置来概括现有的编码方法。这种混合量方法与NISQ设备的当前进度符合比量子位更高的尺寸量子系统的当前进展很好。然后，我们使用高阶Qubit-Qutrit门描述了图像编码方法，并用更简单的基本门进行了这些门的分解。我们使用Google CIRQ的量子模拟器来验证图像检索。我们表明，图像编码过程的复杂性在像素数中是线性的。最后，我们使用表示形式讨论图像压缩和一些基本的RGB图像处理协议。
Quantum image processing is an emerging topic in the field of quantum information and technology. In this paper, we propose a new quantum image representation of RGB images, which is an improvement to all the existing representations in terms of using minimum resource. We use two entangled quantum registers constituting of total 7 qutrits to encode the color channels and their intensities. Additionally, we generalize the existing encoding methods by using both qubits and qutrits to encode the pixel positions of a rectangular image. This hybrid-qudit approach aligns well with the current progress of NISQ devices in incorporating higher dimensional quantum systems than qubits. We then describe the image encoding method using higher-order qubit-qutrit gates, and demonstrate the decomposition of these gates in terms of simpler elementary gates. We use the Google Cirq's quantum simulator to verify the image retrieval. We show that the complexity of the image encoding process is linear in the number of pixels. Lastly, we discuss the image compression and some basic RGB image processing protocols using our representation.
