@article{Wan:2020:10.1103/physrevresearch.2.043280,
author = {Wan, KH and Neville, A and Kolthammer, WS},
doi = {10.1103/physrevresearch.2.043280},
journal = {Physical Review Research},
title = {Memory-assisted decoder for approximate Gottesman-Kitaev-Preskill codes},
url = {http://dx.doi.org/10.1103/physrevresearch.2.043280},
volume = {2},
year = {2020}
}

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TY  - JOUR
AB  - 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 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 displacement error incurred in multiple rounds of error followed by syndrome extraction is bounded by 2√π. By recompiling the syndrome-extraction circuits, we show that all squeezing operations can be subsumed into auxiliary state preparation, reducing them to beamsplitter transformations and quadrature measurements.
AU  - Wan,KH
AU  - Neville,A
AU  - Kolthammer,WS
DO  - 10.1103/physrevresearch.2.043280
PY  - 2020///
SN  - 2643-1564
TI  - Memory-assisted decoder for approximate Gottesman-Kitaev-Preskill codes
T2  - Physical Review Research
UR  - http://dx.doi.org/10.1103/physrevresearch.2.043280
UR  - http://arxiv.org/abs/1912.00829v2
UR  - http://hdl.handle.net/10044/1/85278
VL  - 2
ER  - 

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