Solid code[1]
Description
A variant of Kitaev's surface code on a 3D lattice.
Parent
Cousins
- Color code — Color code is equivalent to surface code in several ways [2][3]. For example, the color code on a \(D\)-dimensional closed manifold is equivalent to multiple decoupled copies of the \(D-1\)-dimensional surface code.
- Self-correcting quantum code — The 3D welded solid code is partially self-correcting with a power-law energy barrier [1].
Zoo code information
References
- [1]
- K. P. Michnicki, “3D Topological Quantum Memory with a Power-Law Energy Barrier”, Physical Review Letters 113, (2014). DOI; 1406.4227
- [2]
- A. Kubica, B. Yoshida, and F. Pastawski, “Unfolding the color code”, New Journal of Physics 17, 083026 (2015). DOI; 1503.02065
- [3]
- Arun B. Aloshious, Arjun Nitin Bhagoji, and Pradeep Kiran Sarvepalli, “On the Local Equivalence of 2D Color Codes and Surface Codes with Applications”. 1804.00866
Cite as:
“Solid code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/3d_surface