Centre for Quantum Computation and Communication Technology, School of Science, RMIT University, Melbourne, Victoria 3000, Australia.
Center for Quantum Information and Control, Department of Physics and Astronomy, University of New Mexico, Albuquerque, New Mexico 87131, USA.
Phys Rev Lett. 2019 Nov 15;123(20):200502. doi: 10.1103/PhysRevLett.123.200502.
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.
在玻色子容错量子计算中，振荡器中量子比特的 Gottesman-Kitaev-Preskill（GKP）编码特别有吸引力，因为对编码的 Pauli 本征态进行高斯操作可以实现具有纠错功能的 Clifford 量子计算。我们表明，对高斯输入态（例如真空）应用 GKP 纠错会产生可提取的魔术态，从而在不增加额外非高斯元件的情况下实现通用性。在足够的压缩和足够低的外部噪声下，可以实现容错。因此，只要有足够数量的 GKP 编码 Pauli 本征态，高斯操作就足以实现容错、通用的量子计算。
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