Landau-level spin code[1] 

Description

Approximate quantum code that encodes a qudit in the finite-dimensional Hilbert space of a single spin, i.e., a spherical Landau level. Codewords are approximately orthogonal Landau-level spin coherent states whose orientations are spaced maximally far apart along a great circle (equator) of the sphere. The larger the spin, the better the performance.

Protection

Protects against equatorial rotational errors acting on the overall spin.

Parents

Cousin

  • Spin GKP code — The spin-GKP (Landau-level) code is a GKP-like encoding in (Landau-level) spin coherent states.

References

[1]
Y. Fan, W. Fischler, and E. Kubischta, “Quantum error correction in the lowest Landau level”, Physical Review A 107, (2023) arXiv:2210.16957 DOI
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Zoo Code ID: landau_level

Cite as:
“Landau-level spin code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/landau_level
BibTeX:
@incollection{eczoo_landau_level, title={Landau-level spin code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/landau_level} }
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Permanent link:
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Cite as:

“Landau-level spin code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/landau_level

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/spins/single_spin/landau_level.yml.