# 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}
}
• Published 2 December 2019
• Computer Science
• arXiv: Quantum Physics
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

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