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Floquet 3D surface code[1]

Description

3D Floquet code whose physical qubit pairs are placed on vertices of a truncated cubic honeycomb. The code is constructed by coupling three 2D surface codes on three interweaving 4.8.8 (square-octagon) tilings oriented along the \(x\), \(y\), and \(z\) axes, respectively, via a coupled layer construction [2]. Its ISG is that of the 3D surface code.

Decoding

Period-six rewinding measurement sequence [1].

Cousin

  • 3D surface code— The ISG of the Floquet 3D surface code is that of the 3D surface code.

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 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]
H. Ma, E. Lake, X. Chen, and M. Hermele, “Fracton topological order via coupled layers”, Physical Review B 95, (2017) arXiv:1701.00747 DOI
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Zoo Code ID: floquet_3d_surface

Cite as:
“Floquet 3D surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/floquet_3d_surface
BibTeX:
@incollection{eczoo_floquet_3d_surface, title={Floquet 3D surface code}, booktitle={The Error Correction Zoo}, year={2025}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/floquet_3d_surface} }
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Permanent link:
https://errorcorrectionzoo.org/c/floquet_3d_surface

Cite as:

“Floquet 3D surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/floquet_3d_surface

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/qubits/dynamic/floquet/3d/floquet_3d_surface.yml.