论文标题
量身定制的集群状态在有偏见下具有高阈值
Tailored cluster states with high threshold under biased noise
论文作者
论文摘要
容忍断层簇状态构成了基于可扩展测量的量子计算的基础。最近，引入了基于可扩展电路的量子计算的新稳定器代码，这些量子计算在有偏见的噪声下具有很高的阈值，其中Qubit主要遭受一种误差，例如Dephasing。但是，扩展这些在稳定器代码中生成高阈值群集状态以产生有偏见的噪声的进展一直是一个挑战，因为叶下稳定器代码的标准方法生成耐断层的群集状态并不能保留噪声偏见。在这项工作中，我们通过引入群集状态的概括来克服这一障碍，该群集状态使我们能够以偏见的方式散落稳定器代码。作为我们方法的一个例子，我们构建了XZZX代码的叶面版本，我们称为XZZX群集状态。我们证明，在电路级噪声模型下，我们的XZZX群集状态的阈值是通常的群集状态的两倍，而不是偏移错误的可能性比错误的错误更有可能导致位倒数$ O（100）$或更多。
Fault-tolerant cluster states form the basis for scalable measurement-based quantum computation. Recently, new stabilizer codes for scalable circuit-based quantum computation have been introduced that have very high thresholds under biased noise where the qubit predominantly suffers from one type of error, e.g. dephasing. However, extending these advances in stabilizer codes to generate high-threshold cluster states for biased noise has been a challenge, as the standard method for foliating stabilizer codes to generate fault-tolerant cluster states does not preserve the noise bias. In this work, we overcome this barrier by introducing a generalization of the cluster state that allows us to foliate stabilizer codes in a bias-preserving way. As an example of our approach, we construct a foliated version of the XZZX code which we call the XZZX cluster state. We demonstrate that under a circuit-level noise model, our XZZX cluster state has a threshold more than double the usual cluster state when dephasing errors are more likely than errors which cause bit flips by a factor of $O(100)$ or more.
