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arXiv 1509.05032quant-ph
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降低噪声有偏时量子计算的开销

Reducing the overhead for quantum computation when noise is biased

Paul Webster, Stephen D. Bartlett, David Poulin

摘要:

我们分析了一个模型的容错量子计算与低开销适合的情况下,噪声是有偏见的。该方案的基础是一个小工具的容错准备的魔术状态,使通用的容错量子计算只使用克利福德门,保持噪声偏置。我们分析了蒸馏的$|T\rangle$型魔术状态使用这个小工具在物理水平上,随后与15量子比特量子里德-穆勒码的级联,并比较我们的结果与标准的结构。在噪声偏置(Pauli $Z$错误相对于其他单量子比特错误的比率)大于10倍的情况下,我们的方案在广泛的相关噪声率范围内具有较低的开销。

英文摘要:

We analyse a model for fault-tolerant quantum computation with low overhead suitable for situations where the noise is biased. The basis for this scheme is a gadget for the fault-tolerant preparation of magic states that enable universal fault-tolerant quantum computation using only Clifford gates that preserve the noise bias. We analyse the distillation of $|T\rangle$-type magic states using this gadget at the physical level, followed by concatenation with the 15-qubit quantum Reed-Muller code, and comparing our results with standard constructions. In the regime where the noise bias (rate of Pauli $Z$ errors relative to other single-qubit errors) is greater than a factor of 10, our scheme has lower overhead across a broad range of relevant noise rates.

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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