# 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…

## 23 Citations

Progress towards practical qubit computation using approximate Gottesman-Kitaev-Preskill codes

- Physics
- 2020

Encoding a qubit in the continuous degrees of freedom of an oscillator is a promising path to error-corrected quantum computation. One advantageous way to achieve this is through…

Towards practical qubit computation using approximate error-correcting grid states

- Computer Science
- 2019

This paper investigates the impact of imperfect GKP states on computational circuits independently of the physical architecture and focuses on a state preparation approach in the photonic domain wherein photon-number-resolving measurements on some modes of Gaussian states produce non-Gaussian states in the others.

Quantum Error Correction with the Gottesman-Kitaev-Preskill Code: A Perspective

- 2021

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…

Quantum Error Correction with the Gottesman-Kitaev-Preskill Code

- PhysicsPRX Quantum
- 2021

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…

Phase-space methods for representing, manipulating, and correcting Gottesman-Kitaev-Preskill qubits

- PhysicsPhysical Review A
- 2021

The Gottesman-Kitaev-Preskill (GKP) encoding of a qubit into a bosonic mode is a promising bosonic code for quantum computation due to its tolerance for noise and all-Gaussian gate set. We present a…

Quantum computing with multidimensional continuous-variable cluster states in a scalable photonic platform

- Computer Science, Physics
- 2019

This work bridges two distinct fields---Kerr microcombs and continuous-variable (CV) quantum information---to formulate a one-way quantum computing architecture based on programmable large-scale CV cluster states that can accommodate hundreds of simultaneously addressable entangled optical modes multiplexed in the frequency domain and an unlimited number of sequentially addressable entangling optical modes in time domain.

Analysis of loss correction with the Gottesman-Kitaev-Preskill code

- Physics
- 2021

The Gottesman-Kitaev-Preskill (GKP) code is a promising bosonic quantum error-correcting code, encoding logical qubits into a bosonic mode in such a way that many physically relevant noise types can…

Performance of teleportation-based error correction circuits for bosonic codes with noisy measurements

- Physics
- 2021

Bosonic quantum error-correcting codes offer a viable direction towards reducing the hardware overhead required for fault-tolerant quantum information processing. A broad class of bosonic codes,…

Encoding an Oscillator into Many Oscillators.

- Medicine, PhysicsPhysical review letters
- 2020

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.

Subsystem analysis of continuous-variable resource states

- Physics
- 2021

Continuous-variable (CV) cluster states are a universal resource for fault-tolerant quantum computation when supplemented with the Gottesman-Kitaev-Preskill (GKP) bosonic code. We generalize the…

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