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arXiv 0705.4360quant-ph
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用于纯化和量子计算的有界容错控制器

Bounding Fault-Tolerant Thresholds for Purification and Quantum Computation

Alastair Kay

备注：
8 pages, 6 figures. published version
发表信息：
Phys. Rev. A 77, 052319 (2008)
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摘要：

在本文中，我们提出了一个界限，当它是不可能的净化一个嘈杂的两个量子比特状态，如果在净化协议中使用的所有门受到对抗性的本地，独立的，噪声。结果表明，门运算误差必须小于5.3%。一个现有的证明，纯化是等价于错误校正是用来表明，这个界也可以应用于级联纠错码在存在噪声门，从而给出了一个限制的容错量子计算机形成的级联的容错错误率。这也适用于错误检测和后选择的情况下，由Knill提出的，是用来提高阈值。我们证明了门/环境引起的错误旋转和量子比特丢失错误之间的权衡。

英文摘要：

In this paper, we place bounds on when it is impossible to purify a noisy two-qubit state if all the gates used in the purification protocol are subject to adversarial local, independent, noise. It is found that the gate operations must be subject to less than 5.3% error. An existing proof that purification is equivalent to error correction is used to show that this bound can also be applied to concatenated error correcting codes in the presence of noisy gates, and hence gives a limit to the tolerable error rate for a fault-tolerant quantum computer formed by concatenation. This is shown to apply also to the case where error detection and post-selection, as proposed by Knill, is used to enhance the threshold. We demonstrate the trade-off between gate/environmentally induced faulty rotations and qubit loss errors.

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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