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Quantum Error Correction Fault Tolerance

Quantum Error Correction in the Lowest Landau Level

arXiv
Authors: Yale Fan, Willy Fischler, Eric Kubischta

Year

2022

Paper ID

57853

Status

Preprint

Abstract Read

~2 min

Abstract Words

93

Citations

N/A

Abstract

We develop finite-dimensional versions of the quantum error-correcting codes proposed by Albert, Covey, and Preskill (ACP) for continuous-variable quantum computation on configuration spaces with nonabelian symmetry groups. Our codes can be realized by a charged particle in a Landau level on a spherical geometry - in contrast to the planar Landau level realization of the qudit codes of Gottesman, Kitaev, and Preskill (GKP) - or more generally by spin coherent states. Our quantum error-correction scheme is inherently approximate, and the encoded states may be easier to prepare than those of GKP or ACP.

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  • We develop finite-dimensional versions of the quantum error-correcting codes proposed by Albert, Covey, and Preskill (ACP) for continuous-variable quantum computation on...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2210.16957 [2] arXiv https://arxiv.org/abs/2210.16957 [3] Publisher https://arxiv.org/abs/2210.16957

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