Tailored cluster states with high threshold under biased noise
Tailored cluster states with high threshold under biased noise
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DOI：
10.1038/s41534-023-00677-w
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发表时间：
2022-01
影响因子：
7.6
通讯作者：
Jahan Claes;J. Bourassa;S. Puri
中科院分区：
文献类型：
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作者：
Jahan Claes;J. Bourassa;S. Puri
容错集群状态构成了可扩展的基于测量的量子计算的基础。最近，新的基于可扩展电路的量子计算稳定器代码已经被引入，在偏置噪声下具有非常高的阈值，其中量子比特主要遭受一种类型的误差，例如去相。然而，将稳定码的这些进展扩展到产生高阈值的簇态来处理有偏差的噪声一直是一个挑战，因为用于产生容错簇态的叶状稳定码的标准方法并不能保持噪声的偏差。在这项工作中，我们通过引入簇状态的泛化来克服这一障碍，这使得我们能够以偏置保持的方式对叶状稳定码进行处理。作为我们方法的一个例子，我们构造了XZZX代码的叶状版本，我们称之为XZZX集群状态。我们证明了在电路级噪声模型下，我们的XZZX集群状态的阈值是通常集群状态的两倍以上，当去相错误比导致比特翻转的错误更有可能导致100倍或更多的因数时。
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 that cause bit flips by a factor of order ~100 or more.