Quantum-triple code[1]
Description
Group-based code whose codewords realize 3D topological order defined by a finite group \(G\).
Excitations are characterized by irreducble representations of a generalization of the quantum double (algebra), often called the quantum triple [1,2].
Cousin
- Quantum-double code— The quantum triple model can be thought of as a 3D version of the quantum double model.
Member of code lists
Primary Hierarchy
Parents
The anyon theory corresponding to a quantum-triple code is a TQT with trivial cocycle.
Quantum-triple code
References
- [1]
- H. Moradi and X.-G. Wen, “Universal topological data for gapped quantum liquids in three dimensions and fusion algebra for non-Abelian string excitations”, Physical Review B 91, (2015) arXiv:1404.4618 DOI
- [2]
- C. Delcamp, “Excitation basis for (3+1)d topological phases”, Journal of High Energy Physics 2017, (2017) arXiv:1709.04924 DOI
Page edit log
- Victor V. Albert (2025-09-25) — most recent
Cite as:
“Quantum-triple code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2025. https://errorcorrectionzoo.org/c/quantum_triple