Quantum Error Correction in the Lowest Landau Level

• URL: http://arxiv.org/abs/2210.16957v2
• Date: Fri, 24 Mar 2023 20:53:00 GMT
• Title: Quantum Error Correction in the Lowest Landau Level
• Authors: Yale Fan, Willy Fischler, Eric Kubischta
• Abstract summary: We develop finite-dimensional versions of the quantum error-correcting codes proposed by Albert, Covey, and Preskill. Our codes can be realized by a charged particle in a Landau level on a spherical geometry.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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