Higher-dimensional surface code[1]
Description
A family of Kitaev surface codes on planar or toric surfaces of dimension greater than two. Stub.
Parent
Child
Cousins
- Fractal surface code — Fractal surface codes are obtained by removing qubits from the surface code on a cubic lattice.
- Self-correcting quantum code — The 4D toric code is a self-correcting quantum memory [1][2].
Zoo code information
References
- [1]
- E. Dennis et al., “Topological quantum memory”, Journal of Mathematical Physics 43, 4452 (2002). DOI; quant-ph/0110143
- [2]
- R. Alicki et al., “On thermal stability of topological qubit in Kitaev's 4D model”. 0811.0033
Cite as:
“Higher-dimensional surface code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/higher_dimensional_surface