Fracton Floquet code[1]
Description
Floquet code whose qubits are placed on vertices of a truncated cubic honeycomb. 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. On a three-torus of size \(L_x \times L_y \times L_z\), the code consists of \(n= 48L_xL_yL_z\) physical qubits and encodes \(k= 2(L_x+L_y+L_z)-6\) logical qubits.
Decoding
Period-six measurement sequence utilizing two- and three-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
Page edit log
- Nathanan Tantivasadakarn (2024-06-27) — most recent
- Victor V. Albert (2024-04-05)
Cite as:
“Fracton Floquet code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/floquet_fracton