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arXiv 2108.01646quant-phcond-mat.mes-hall
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钻石量子处理器中逻辑量子比特的容错操作

Fault-tolerant operation of a logical qubit in a diamond quantum processor

M. H. Abobeih, Y. Wang, J. Randall, S. J. H. Loenen, C. E. Bradley, M. Markham, D. J. Twitchen, B. M. Terhal, T. H. Taminiau

摘要:

固态自旋量子比特是量子计算和量子网络的一个很有前途的平台。最近的实验已经证明了对多量子比特系统的高质量控制,基本量子算法和非容错纠错。大规模系统将需要使用容错操作的纠错逻辑量子比特,以便在有噪声的操作中进行可靠的计算。以这种方式克服缺陷仍然是量子科学面临的一个重大挑战。在这里,我们展示了一个逻辑量子比特上的容错操作使用菱形自旋量子比特。我们的方法是基于5量子位代码与最近发现的标志协议,使容错使用总共7个量子位。我们编码的逻辑量子比特使用一种新的协议的基础上重复的多量子比特测量,并表明它优于非容错编码方案。然后,我们容错操作的逻辑量子比特通过一套完整的单量子比特克利福德门。最后,我们展示了标记的稳定器测量与实时处理的结果。这种测量是容错量子纠错的基础。虽然未来的保真度和量子比特的数量将需要改进,但我们在逻辑量子比特级别上实现容错协议是基于固态自旋的大规模量子信息处理的关键一步。

英文摘要:

Solid-state spin qubits are a promising platform for quantum computation and quantum networks. Recent experiments have demonstrated high-quality control over multi-qubit systems, elementary quantum algorithms and non-fault-tolerant error correction. Large-scale systems will require using error-corrected logical qubits that are operated fault-tolerantly, so that reliable computation is possible despite noisy operations. Overcoming imperfections in this way remains a major outstanding challenge for quantum science. Here, we demonstrate fault-tolerant operations on a logical qubit using spin qubits in diamond. Our approach is based on the 5-qubit code with a recently discovered flag protocol that enables fault-tolerance using a total of seven qubits. We encode the logical qubit using a novel protocol based on repeated multi-qubit measurements and show that it outperforms non-fault-tolerant encoding schemes. We then fault-tolerantly manipulate the logical qubit through a complete set of single-qubit Clifford gates. Finally, we demonstrate flagged stabilizer measurements with real-time processing of the outcomes. Such measurements are a primitive for fault-tolerant quantum error correction. While future improvements in fidelity and the number of qubits will be required, our realization of fault-tolerant protocols on the logical-qubit level is a key step towards large-scale quantum information processing based on solid-state spins.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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