Rotor GKP code[1][2]

Description

GKP code protecting against small angular position and momentum shifts of a planar rotor.

Parent

Cousins

  • Gottesman-Kitaev-Preskill (GKP) code — GKP (rotor GKP) codes protect against shifts in linear (angular) degrees of freedom.
  • Number-phase code — Number phase codes are a manifestation of planar-rotor GKP codes in an oscillator. Both codes protect against small shifts in angular degrees of freedom.

Zoo code information

Internal code ID: rotor_gkp

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

Zoo Code ID: rotor_gkp

Cite as:
“Rotor GKP code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/rotor_gkp
BibTeX:
@incollection{eczoo_rotor_gkp, title={Rotor GKP code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/rotor_gkp} }
Permanent link:
https://errorcorrectionzoo.org/c/rotor_gkp

References

[1]
D. Gottesman, A. Kitaev, and J. Preskill, “Encoding a qubit in an oscillator”, Physical Review A 64, (2001). DOI; quant-ph/0008040
[2]
V. V. Albert, J. P. Covey, and J. Preskill, “Robust Encoding of a Qubit in a Molecule”, Physical Review X 10, (2020). DOI; 1911.00099

Cite as:

“Rotor GKP code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/rotor_gkp

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/groups/rotor_gkp.yml.