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Quantum error correction with the toric Gottesman-Kitaev-Preskill code

Quantum error correction with the toric Gottesman-Kitaev-Preskill code

We examine the performance of the single-mode GKP code and its concatenation with the toric code for a noise model of Gaussian shifts, or displacement errors. We show how one can optimize the tracking of errors in repeated noisy error correction for the GKP code. We do this by examining …