Ability of stabilizer quantum error correction to protect itself from its own imperfection
Ability of stabilizer quantum error correction to protect itself from its own imperfection
复制标题
稳定器量子纠错保护自身免受自身缺陷影响的能力
DOI：
10.1103/physreva.90.062304
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
Yuichiro Fujiwara
中科院分区：
文献类型：
--
作者：
Yuichiro Fujiwara
稳定子量子纠错理论使我们能够在嘈杂环境中主动稳定量子态并模拟理想的量子操作。从其 syndrome（校验子）正确诊断噪声并相应地消除它是至关重要的。然而，在实际中，执行量子纠错的硬件本身不可避免地是不完善的。在此，我们表明稳定子码具有一种内在能力，不仅能纠正量子信息上的错误，还能纠正其自身提取的错误校验子。肖尔用于容错量子计算的校验子提取自然地得到了改进。这为实现稳定子量子纠错的潜力开辟了一条道路，这种潜力隐藏在看似平常的生成元和稳定子算符的选择中，而这些选择此前被认为是冗余的。
The theory of stabilizer quantum error correction allows us to actively stabilize quantum states and simulate ideal quantum operations in a noisy environment. It is critical to correctly diagnose noise from its syndrome and nullify it accordingly. However, hardware that performs quantum error correction itself is inevitably imperfect in practice. Here, we show that stabilizer codes possess a built-in capability to correct errors not only on quantum information but also on faulty syndromes extracted by themselves. Shor's syndrome extraction for fault-tolerant quantum computation is naturally improved. This opens a path to realizing the potential of stabilizer quantum error correction hidden within an innocent-looking choice of generators and stabilizer operators that have been deemed redundant.