Floquet 3D fermionic surface code[1]
Description
A 3D Floquet code on a trivalent lattice whose weight-two checks are the \(XX\), \(YY\), and \(ZZ\) edge terms of the 3D Kitaev honeycomb model [1,2].
A rewinding sixteen-round schedule yields ISGs that are FDLQC-equivalent to the 3D fermionic surface code. The rewinding avoids measuring all non-contractible-loop logical operators, so on periodic boundaries the Floquet code preserves a single logical qubit even though the static 3D fermionic surface code has three [1].
Rate
With periodic boundary conditions, the rewinding schedule preserves a single logical qubit because two logical operators are inferred during the cycle [1].Cousins
- 3D fermionic surface code— Each ISG of the Floquet 3D fermionic surface code is FDLQC-equivalent to the 3D fermionic surface code [1].
- 3D Kitaev honeycomb code— The weight-two check operators of the Floquet 3D fermionic surface code are those of the 3D Kitaev honeycomb model [1,2].
Primary Hierarchy
Parents
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
Page edit log
- Arpit Dua (2025-04-11) — most recent
- Victor V. Albert (2025-04-11)
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