Higher-dimensional surface code[1]
Description
A family of Kitaev surface codes on planar or toric surfaces of dimension greater than two. Stub.
Decoding
Improved BP-OSD decoder [2].
Threshold
Phenomenological noise model for the 4D toric code: \(4.3\%\) under improved BP-OSD decoder [2].
Parent
Children
Cousins
- Self-correcting quantum code — The 4D toric code is a self-correcting quantum memory [1][3].
- Fractal surface code — Fractal surface codes are obtained by removing qubits from the surface code on a cubic lattice.
References
- [1]
- E. Dennis et al., “Topological quantum memory”, Journal of Mathematical Physics 43, 4452 (2002) arXiv:quant-ph/0110143 DOI
- [2]
- O. Higgott and N. P. Breuckmann, “Improved single-shot decoding of higher dimensional hypergraph product codes”, (2022) arXiv:2206.03122
- [3]
- R. Alicki et al., “On thermal stability of topological qubit in Kitaev’s 4D model”, (2008) arXiv:0811.0033
Page edit log
- Victor V. Albert (2022-01-12) — most recent
Cite as:
“Higher-dimensional surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/higher_dimensional_surface