Abstract

Noncommutative operator graphs play an important role in the theory of quantum error correction. In this paper, we briefly review recent results devoted to the graphs generated by resolutions of identity for which there exists a quantum error-correcting code. We discuss examples of such graphs and touch upon the problem of describing quantum noise within this theory.

中文翻译：

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由恒等解产生的非交换算子图

摘要

非对易算子图在量子纠错理论中起着重要作用。在本文中，我们简要回顾了最近的结果，这些结果专门用于由存在量子纠错码的身份解析生成的图。我们讨论了此类图的示例，并触及了在该理论中描述量子噪声的问题。