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

Internal code ID: 3d_surface

Your contribution is welcome!

on github.com (edit & pull request)

edit on this site

Zoo Code ID: 3d_surface

Cite as:
“Solid code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2022. https://errorcorrectionzoo.org/c/3d_surface
BibTeX:
@incollection{eczoo_3d_surface, title={Solid code}, booktitle={The Error Correction Zoo}, year={2022}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/3d_surface} }
Permanent link:
https://errorcorrectionzoo.org/c/3d_surface

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/tree/main/codes/quantum/qubits/topological/surface/3d_surface.yml.