We introduce a new graphical framework for designing quantum error correction codes based on classical principles. A key feature of this graphical language, over previous approaches, is that it is closely related to that of factor graphs or graphical models in classical information theory and machine learning. It enables us to formulate the description of the recently-introduced ‘coherent parity check’ quantum error correction codes entirely within the language of classical information theory. This makes our construction accessible without requiring background in quantum error correction or even quantum mechanics in general. More importantly, this allows for a collaborative interplay where one can design new quantum error correction codes derived from classical codes.

中文翻译：

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来自经典图形模型的量子代码

我们引入了一种新的图形框架，用于基于经典原理设计量子纠错码。与以前的方法相比，这种图形语言的一个关键特征是它与经典信息理论和机器学习中的因子图或图形模型密切相关。它使我们能够完全用经典信息论的语言来表述最近引入的“相干奇偶校验”量子纠错码的描述。这使得我们的构建无需量子纠错或一般量子力学的背景即可访问。更重要的是，这允许协作相互作用，可以设计从经典代码派生的新量子纠错代码。