We show the fault-tolerance of the not-so-well known [[8,1,4]] non-CSS code and study the logical error rates of the code. To do so, we adopt the procedure of the bare ancilla method presented by Brown et al. We choose the encoding procedure for stabilizer codes given by Gottesman and modify it to suit the setting of a class of non-CSS codes. We consider two types of noise models for this study, namely the depolarizing noise and anisotropic noise to depict the logical error rates obtained in decoding.

翻译：我们证明了相对鲜为人知的[[8,1,4]]非CSS码的容错性，并研究了该码的逻辑错误率。为此，我们采用了Brown等人提出的裸辅助量子比特方法流程。我们选择了Gottesman给出的稳定子码编码程序，并对其进行了修改以适应一类非CSS码的设置。在本研究中，我们考虑了两种类型的噪声模型，即去极化噪声和各向异性噪声，以描述解码过程中获得的逻辑错误率。