# Memory-assisted decoder for approximate Gottesman-Kitaev-Preskill codes

@article{Wan2019MemoryassistedDF, title={Memory-assisted decoder for approximate Gottesman-Kitaev-Preskill codes}, author={Kwok Ho Wan and Alex Neville and Steve Kolthammer}, journal={arXiv: Quantum Physics}, year={2019} }

We propose a quantum error correction protocol for continuous-variable finite-energy, approximate Gottesman-Kitaev-Preskill (GKP) states undergoing small Gaussian random displacement errors, based on the scheme of Glancy and Knill [Phys. Rev. A {\bf 73}, 012325 (2006)]. We show that combining multiple rounds of error-syndrome extraction with Bayesian estimation offers enhanced protection of GKP-encoded qubits over comparible single-round approaches. Furthermore, we show that the expected total…

## 8 Citations

Measurement-free preparation of grid states

- Computer Science
- 2019

A measurement-free preparation protocol, which deterministically prepares arbitrary logical grid states with a rectangular or hexagonal lattice, which can be readily implemented in trapped-ion or superconducting-circuit platforms to generate high-quality grid states using only a few interactions, even with the noise levels found in current systems.

Modular Bosonic Subsystem Codes.

- PhysicsPhysical review letters
- 2020

We introduce a framework to decompose a bosonic mode into two virtual subsystems-a logical qubit and a gauge mode. This framework allows the entire toolkit of qubit-based quantum information to be…

Quantum error correction with higher Gottesman-Kitaev-Preskill codes: Minimal measurements and linear optics

- Computer SciencePhysical Review A
- 2022

It is shown that for a concatenation of GKP codes with a [n, k, d] stabilizer code only 2n measurements are needed in order to obtain the complete syndrome information, significantly reducing the number of measurements in comparison to the canonical concatenated measurement scheme and at the same time generalizing linear-optics-based syndrome detections to higher GKp codes.

Quantum error correction with the color-Gottesman-Kitaev-Preskill code

- Materials Science, PhysicsPhysical Review A
- 2021

Jiaxuan Zhang, 2 Jian Zhao, 2 Yu-Chun Wu, 2, 3, ∗ and Guo-Ping Guo 2, 3, 4 Key Laboratory of Quantum Information, Chinese Academy of Sciences, School of Physics, University of Science and Technology…

Quantum information processing with bosonic qubits in circuit QED

- Physics, Computer ScienceQuantum Science and Technology
- 2021

Recent developments in the theory and implementation of QEC with bosonic codes are reviewed and the progress made toward realizing fault-tolerant quantum information processing with cQED devices are reported on.

Spin and polarization effects on the nonlinear Breit–Wheeler pair production in laser-plasma interaction

- PhysicsNew Journal of Physics
- 2021

The spin effect of electrons/positrons (e −/e +) and polarization effect of γ photons are investigated in the interaction of two counter-propagating linearly polarized laser pulses of peak intensity…

Subsystem analysis of continuous-variable resource states

- Computer Science, Physics
- 2021

This work generalizes the recently introduced subsystem decomposition of a bosonic mode and uses it to analyze CV cluster-state quantum computing with GKP states, and decomposes squeezed vacuum states and approximate GKp states to reveal their encoded logical information.

Towards scalable bosonic quantum error correction

- Physics
- 2020

Some new results on decoding repeated GKP error correction using finitely-squeezed GKKP ancilla qubits, exhibiting differences with previously studied stochastic error models are presented.

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