# High-threshold fault-tolerant quantum computation with the GKP qubit and realistically noisy devices

@article{Fukui2019HighthresholdFQ, title={High-threshold fault-tolerant quantum computation with the GKP qubit and realistically noisy devices}, author={Kosuke Fukui}, journal={arXiv: Quantum Physics}, year={2019} }

To implement fault-tolerant quantum computation with continuous variables, continuous variables need to be digitized using an appropriate code such as the Gottesman--Kitaev--Preskill (GKP) qubit. We have developed a method to alleviate the required squeezing level to realize fault-tolerant quantum computation with the GKP qubit [K. Fukui, A. Tomita, A. Okamoto, and K. Fujii, Phys. Rev. X {\bf 8}, 021054 (2018)]. In the previous work, the required squeezing level can be reduced to less than 10… Expand

#### 20 Citations

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The Gottesman-Kitaev-Preskill (GKP) code was proposed in 2001 by Daniel Gottesman, Alexei Kitaev, and John Preskill as a way to encode a qubit in an oscillator. The GKP codewords are coherent… Expand

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The Gottesman-Kitaev-Preskill (GKP) code was proposed in 2001 by Daniel Gottesman, Alexei Kitaev, and John Preskill as a way to encode a qubit in an oscillator. The GKP codewords are coherent… Expand

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A non-Gaussian oscillator-into-oscillators code, namely the GKP two-mode squeezing code, is proposed and it is demonstrated that it can quadratically suppress additive Gaussian noise errors in both the position and momentum quadratures except for a small sublogarithmic correction. Expand

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