~

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}.