Gottesman-Kitaev-Preskill codes: A lattice perspective
Conrad J, Eisert J, Arzani F (2022)
Publication Type: Journal article
Publication year: 2022
Journal
Book Volume: 6
DOI: 10.22331/Q-2022-02-10-648
Abstract
We examine general Gottesman-Kitaev-Preskill (GKP) codes for continuous-variable quantum error correction, including concatenated GKP codes, through the lens of lat- tice theory, in order to better understand the structure of this class of stabilizer codes. We derive formal bounds on code parameters, show how different decoding strategies are precisely related, propose new ways to obtain GKP codes by means of glued lat- tices and the tensor product of lattices and point to natural resource savings that have remained hidden in recent approaches. We present general results that we illustrate through examples taken from different classes of codes, including scaled self-dual GKP codes and the concatenated surface-GKP code.
Involved external institutions
Germany (DE)How to cite
APA:
Conrad, J., Eisert, J., & Arzani, F. (2022). Gottesman-Kitaev-Preskill codes: A lattice perspective. Quantum, 6. https://doi.org/10.22331/Q-2022-02-10-648
MLA:
Conrad, Jonathan, Jens Eisert, and Francesco Arzani. "Gottesman-Kitaev-Preskill codes: A lattice perspective." Quantum 6 (2022).
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