Thresholds for universal concatenated quantum codes

Christopher Chamberland, Tomas Jochym-O’Connor, Raymond Laflamme · 2016 · Phys. Rev. Lett. 117, 010501

| 编号 QE071 | 主题 小码与早期码 | 链接 arXiv:1603.02704 |

摘要

摘要保留原文（英文）

摘要取自 arXiv / 出版方元数据，未作翻译，以保证与原文一致。

Quantum error correction and fault-tolerance make it possible to perform quantum computations in the presence of imprecision and imperfections of realistic devices. An important question is to find the noise rate at which errors can be arbitrarily suppressed. By concatenating the 7-qubit Steane and 15-qubit Reed-Muller codes, the 105-qubit code enables a universal set of fault-tolerant gates despite not all of them being transversal. Importantly, the CNOT gate remains transversal in both codes, and as such has increased error protection relative to the other single qubit logical gates. We show that by exploiting the different error protection of the gates, one can increase the threshold value by 25%.

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