On a C*-Diagonal Generated by the Toric Code
arXiv:2601.11511 · doi:10.1007/s43036-026-00520-x
Abstract
We study the abelian sub-C*-algebra of the CAR algebra generated by the start and face opertors of Kitaev's toric code. We show that it is a C*-diagonal equivalent to the canonical diagonal of the CAR algebra.
References in corpus (7)
- Fault-tolerant quantum computation by anyons
- String-net condensation: A physical mechanism for topological phases
- Homology and topological full groups of etale groupoids on totally disconnected spaces
- A hierarchy of topological tensor network states
- A statistical mechanics view on Kitaev's proposal for quantum memories
- Localized endomorphisms in Kitaev's toric code on the plane
- Paper-folding models for the CAR algebra