All-Gaussian Universality and Fault Tolerance with the Gottesman-Kitaev-Preskill Code
All-Gaussian Universality and Fault Tolerance with the Gottesman-Kitaev-Preskill Code
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DOI：
10.1103/physrevlett.123.200502
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发表时间：
2019-11-13
影响因子：
8.6
通讯作者：
Menicucci, Nicolas C.
中科院分区：
文献类型：
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作者：
Baragiola, Ben Q.;Pantaleoni, Giacomo;Menicucci, Nicolas C.
振荡器内量子比特的Gottesman-Kitaev-Preskill（GKP）编码对于使用玻色子的容错量子计算特别有吸引力，因为对编码的泡利本征态的高斯运算使Clifford量子计算具有纠错功能。我们表明，将GKP误差校正应用于高斯输入状态，如真空，产生可解释的幻态，实现普适性而无需额外的非高斯元素。容错是可能的充分挤压和足够低的外部噪声。因此，高斯运算对于容错的通用量子计算是足够的，给出了GKP编码的泡利本征态的供应。
The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit within an oscillator is particularly appealing for fault-tolerant quantum computing with bosons because Gaussian operations on encoded Pauli eigenstates enable Clifford quantum computing with error correction. We show that applying GKP error correction to Gaussian input states, such as vacuum, produces distillable magic states, achieving universality without additional non-Gaussian elements. Fault tolerance is possible with sufficient squeezing and low enough external noise. Thus, Gaussian operations are sufficient for fault-tolerant, universal quantum computing given a supply of GKP-encoded Pauli eigenstates.