Reducing the overhead for quantum computation when noise is biased
Reducing the overhead for quantum computation when noise is biased
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当噪声有偏差时减少量子计算的开销
DOI：
10.1103/physreva.92.062309
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发表时间：
2015
影响因子：
2.9
通讯作者：
D. Poulin
中科院分区：
文献类型：
--
作者：
P. Webster;S. Bartlett;D. Poulin
我们分析了一种低开销的容错量子计算模型，适用于噪声偏置的情况。该方案的基础是一个用于容错状态准备的小工具，该小工具仅使用保持噪声偏差的Clifford门就可以实现通用容错量子计算。我们使用这个小工具在物理层分析$|T\ensuremath{\rangle}$类型的魔法状态的蒸馏，然后与15量子位量子Reed-Muller代码连接，并将我们的结果与标准结构进行比较。在噪声偏置（泡利$Z$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。
We analyze 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 analyze the distillation of $|T\ensuremath{\rangle}$-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.