diff --git a/codes/quantum/qubits/stabilizer/topological/surface/higher_d/higher_dimensional_toric.yml b/codes/quantum/qubits/stabilizer/topological/surface/higher_d/higher_dimensional_toric.yml index da2629ffb..98c782912 100644 --- a/codes/quantum/qubits/stabilizer/topological/surface/higher_d/higher_dimensional_toric.yml +++ b/codes/quantum/qubits/stabilizer/topological/surface/higher_d/higher_dimensional_toric.yml @@ -11,7 +11,7 @@ name: '\(D\)-dimensional twisted toric code' introduced: '\cite{arxiv:quant-ph/0602063,arxiv:1608.05089}' description: | - Extenstion of the Kitaev toric code to higher-dimensional lattices with shifted (a.k.a twisted) boundary conditions. + Extension of the Kitaev toric code to higher-dimensional lattices with regular or shifted (a.k.a. twisted) boundary conditions. Such boundary conditions yields quibit geometries that are tori \(\mathbb{R}^D/\Lambda\), where \(\Lambda\) is an arbitrary \(D\)-dimensional lattice. Picking a hypercubic lattice yields the ordinary \(D\)-dimensional toric code. It is conjectured that appropriate twisted boundary conditions yield multi-dimensional toric code families with linear distance and logarithmic-weight stabilizer generators \cite{arxiv:1608.05089}.