We show how to construct hybrid quantum-classical codes from subsystem codes by encoding the classical information into the gauge qudits using gauge fixing. Unlike previous work on hybrid codes, we allow for two separate minimum distances, one for the quantum information and one for the classical information. We give an explicit construction of hybrid codes from two classical linear codes using Bacon-Casaccino subsystem codes, as well as several new examples of good hybrid code.

翻译：我们展示了如何从子系统代码中构建混合量子古典代码,将古典信息编码成测量器的缩写。 与以前关于混合代码的工作不同,我们允许两个不同的最小距离,一个用于量子信息,另一个用于古典信息。 我们用巴昆-卡萨契诺子代码以及几个好混合代码的新例子,从两个古典线性代码中明确构建混合代码。