Fiber code[1]
Description
Approximate quantum code that encodes a qudit in an induced representation \(\text{Ind}_G^{SO(3)} \Gamma\), induced by the irrep \(\Gamma\) of a subgroup \(G\subset SO(3)\). Such spaces correspond to orientation state spaces of certain symmetric molecules [1], with the base space \(SO(3)/G\) labeling the orientations and the fiber carrying the \(\Gamma\)-irrep encoding the logical information.Protection
A basis of noise operators is developed for general induced representations in Ref. [1].Cousin
- Molecular code— Molecular codes encode quantum information into superpositions of multiple orientations of an asymmetric molecule [2], while fiber codes encode into the fiber associated with a single orientation of certain symmetric molecules [1].
Member of code lists
Primary Hierarchy
Parents
Fiber codes are defined on an induced representation \(\text{Ind}_G^{SO(3)} \Gamma\), induced by the irrep \(\Gamma\) of a subgroup \(G\subset SO(3)\).
Fiber code
References
- [1]
- V. V. Albert, E. Kubischta, M. Lemeshko, and L. R. Liu, “Quantum theory of molecular orientations”, (2026) arXiv:2403.04572
- [2]
- V. V. Albert, J. P. Covey, and J. Preskill, “Robust Encoding of a Qubit in a Molecule”, Physical Review X 10, (2020) arXiv:1911.00099 DOI
Page edit log
- Victor V. Albert (2026-06-08) — most recent
- Victor V. Albert (2025-10-29)
Cite as:
“Fiber code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2026. https://errorcorrectionzoo.org/c/fiber, arXiv:2606.11484
Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/quantum/homogeneous/fiber.yml.