Description
Abelian topological code, such as a surface [1][3] or color [2] code, constructed on lattices of Galois qudits.
Parents
Cousins
- Kitaev surface code — Surface code has been extended to Galois qudits.
- Color code — Color code has been extended to Galois qudits.
References
- [1]
- S. S. Bullock and G. K. Brennen, “Qudit surface codes and gauge theory with finite cyclic groups”, Journal of Physics A: Mathematical and Theoretical 40, 3481 (2007) arXiv:quant-ph/0609070 DOI
- [2]
- P. Sarvepalli, “Topological color codes over higher alphabet”, 2010 IEEE Information Theory Workshop (2010) DOI
- [3]
- I. Andriyanova, D. Maurice, and J.-P. Tillich, “New constructions of CSS codes obtained by moving to higher alphabets”, (2012) arXiv:1202.3338
Page edit log
- Victor V. Albert (2022-07-27) — most recent
Cite as:
“Galois-qudit topological code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/galois_topological