Fracton 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 edges of each truncated cube, while weight-three check operators are placed on each triangle. Its ISG can be that of the X-cube model code or the checkerboard model code.

Decoding

Period-six measurement sequence utilizing two-qubit measurements [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 the checkerboard model code.
  • Checkerboard model code — The ISG of the X-cube Floquet code can be that of the X-cube model code or the checkerboard model code.
  • Floquet color code — The fracton Floquet code is obtained via a 3D generalization of the construction used in the Floquet color code [1].

References

[1]
M. Davydova, N. Tantivasadakarn, and S. Balasubramanian, “Floquet Codes without Parent Subsystem Codes”, PRX Quantum 4, (2023) arXiv:2210.02468 DOI
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Zoo Code ID: floquet_fracton

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

Cite as:

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

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