Fault-tolerant preparation of stabilizer states for quantum Calderbank-Shor-Steane codes by classical error-correcting codes
Fault-tolerant preparation of stabilizer states for quantum Calderbank-Shor-Steane codes by classical error-correcting codes
复制标题
通过经典纠错码容错地制备量子 Calderbank-Shor-Steane 码的稳定器态
DOI：
10.1103/physreva.95.032339
复制
发表时间：
2016
影响因子：
2.9
通讯作者：
T. Brun
中科院分区：
文献类型：
--
作者：
C. Lai;Yicong Zheng;T. Brun
稳定剂态基于泡利群的结构在量子信息论中得到了广泛的研究。 Calderbank-Shor-Steane (CSS) 稳定态在容错量子计算 (FTQC) 中的应用特别重要。然而，如何为通用 CSS 稳定器代码容错地准备任意 CSS 稳定器状态仍然未知，并且它们的准备在计算资源方面可能非常昂贵。在本文中，我们展示了如何准备一大类对 FTQC 有用的 CSS 稳定器状态。我们提出使用经典代码或量子 CSS 代码的校正子编码的蒸馏协议。同样，我们证明经典编码技术可以通过使用额外的横向受控非门和经典计算能力来减少 Steane 综合症提取中的辅助消耗。在辅助消耗率固定的场景下，我们可以提高量子纠错的频率，有效降低错误率。
Stabilizer states are extensively studied in quantum information theory for their structures based on the Pauli group. Calderbank-Shor-Steane (CSS) stabilizer states are of particular importance in their application to fault-tolerant quantum computation (FTQC). However, how to fault-tolerantly prepare arbitrary CSS stabilizer states for general CSS stabilizer codes is still unknown, and their preparation can be highly costly in computational resources. In this paper, we show how to prepare a large class of CSS stabilizer states useful for FTQC. We propose distillation protocols using syndrome encoding by classical codes or quantum CSS codes. Along the same lines, we show that classical coding techniques can reduce the ancilla consumption in Steane syndrome extraction by using additional transversal controlled-not gates and classical computing power. In the scenario of a fixed ancilla consumption rate, we can increase the frequency of quantum error correction and effectively lower the error rate.