Hopf-algebra cluster-state code[1]
Description
Code based on a cluster state defined on qudits valued in a Hopf algebra.
Parent
Child
- Modular-qudit cluster-state code — Hopf-algebra cluster-state codes reduce to modular-qudit cluster-state codes when the Hopf algebra reduces the group \(\mathbb{Z}_q\).
Cousins
- Hopf-algebra quantum-double code — Both Hopf-algebra quantum-double and Hopf-algebra cluster-state codes are defined on qudits valued in a Hopf algebra.
- Group-based cluster-state code — Hopf-algebra cluster-state codes reduce to group-based cluster-state codes for finite groups when the Hopf algebra reduces to a finite group.
References
- [1]
- Z. Jia, “Generalized cluster states from Hopf algebras: non-invertible symmetry and Hopf tensor network representation”, (2024) arXiv:2405.09277
Page edit log
- Victor V. Albert (2024-05-16) — most recent
Cite as:
“Hopf-algebra cluster-state code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2024. https://errorcorrectionzoo.org/c/hopf_cluster_state