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

  title={Memory-assisted decoder for approximate Gottesman-Kitaev-Preskill codes},
  author={Kwok Ho Wan and Alex Neville and Steve Kolthammer},
  journal={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… 

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