Stellated color code[1]
Description
A non-CSS color code on a lattice patch with a single twist defect at the center of the patch.
Rate
Stellated color codes have negative curvature around the central defect, and thus circumvent the BPT bound for codes on Euclidean lattices.
Parent
Cousin
- Triangular surface code — Stellated color codes are color-code analogues of triangle surface codes in that both encode logical information in lattices with a single twist defect. Instances of the former can be obtained by fattening [2] the vertices of the latter [1].
References
- [1]
- M. S. Kesselring, F. Pastawski, J. Eisert, and B. J. Brown, “The boundaries and twist defects of the color code and their applications to topological quantum computation”, Quantum 2, 101 (2018) arXiv:1806.02820 DOI
- [2]
- H. Bombin and M. A. Martin-Delgado, “Exact topological quantum order inD=3and beyond: Branyons and brane-net condensates”, Physical Review B 75, (2007) arXiv:cond-mat/0607736 DOI
Page edit log
- Victor V. Albert (2024-03-10) — most recent
Cite as:
“Stellated color code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/stellated_color