X-cube Floquet code[1] 

Description

Floquet code whose qubits are placed on vertices of a truncated cubic lattice. Its weight-two check operators are placed on various edges. Its ISG can be that of the X-cube model code or that of several decoupled surface codes.

Rate

Logical dimension grows with system size [1].

Decoding

Period-six measurement sequence utilizing two-qubit measurements [1].

Code Capacity Threshold

It is argued that this code has a threshold in Ref. [1].

Parent

Cousins

  • X-cube model code — The ISG of the X-cube Floquet code can be that of the X-cube model code or that of several decoupled surface codes.
  • Kitaev surface code — The ISG of the X-cube Floquet code can be that of the X-cube model code or that of several decoupled surface codes.

References

[1]
Z. Zhang, D. Aasen, and S. Vijay, “The X-Cube Floquet Code”, (2022) arXiv:2211.05784
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Zoo Code ID: floquet_xcube

Cite as:
“X-cube Floquet code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/floquet_xcube
BibTeX:
@incollection{eczoo_floquet_xcube, title={X-cube Floquet code}, booktitle={The Error Correction Zoo}, year={2024}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/floquet_xcube} }
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Permanent link:
https://errorcorrectionzoo.org/c/floquet_xcube

Cite as:

“X-cube Floquet code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/floquet_xcube

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/dynamic/floquet/floquet_xcube.yml.