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Floquet 3D fermionic surface code[1]

Description

3D Floquet code whose physical qubits are placed on vertices of a particular trivalent honeycomb. Its weight-two check operators are those of the 3D Kitaev honeycomb model [2]. Its ISGs are equivalent to that of the 3D fermionic surface code via a constant-depth circuit with ancillas.

Rate

The code encodes a single logical qubit for periodic boundary conditions.

Decoding

Period-sixteen measurement sequence [1].

Cousins

  • 3D fermionic surface code— The ISGs of the Floquet 3D fermionic surface code are equivalent to that of the 3D fermionic surface code via a constant-depth circuit with ancillas.
  • 3D Kitaev honeycomb code— The weight-two check operators of the Floquet 3D fermionic surface code are those of the 3D Kitaev honeycomb model [2].

Member of code lists

Primary Hierarchy

Quantum Domain
Qubit Kingdom
Qubit codeQECC Quantum
Dynamical codeDynamically generated QECC Quantum
Hastings-Haah Floquet codeDynamically generated QECC Quantum
Parents
Hastings-Haah Floquet code
Floquet 3D fermionic surface code

References

[1]
A. Dua, N. Tantivasadakarn, J. Sullivan, and T. D. Ellison, “Engineering 3D Floquet Codes by Rewinding”, PRX Quantum 5, (2024) arXiv:2307.13668 DOI
[2]
S. Mandal and N. Surendran, “Exactly solvable Kitaev model in three dimensions”, Physical Review B 79, (2009) arXiv:0801.0229 DOI
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Zoo Code ID: floquet_3d_fermionic_surface

Cite as:
“Floquet 3D fermionic surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/floquet_3d_fermionic_surface
BibTeX:
@incollection{eczoo_floquet_3d_fermionic_surface, title={Floquet 3D fermionic surface code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/floquet_3d_fermionic_surface} }
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Permanent link:
https://errorcorrectionzoo.org/c/floquet_3d_fermionic_surface

Cite as:

“Floquet 3D fermionic surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/floquet_3d_fermionic_surface

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/dynamic/floquet/3d/floquet_3d_fermionic_surface.yml.