CRAWLER

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

Author: Tamara

codes/classical/homogeneous/symmetric/2pt_homogeneous/complex_projective.yml

@@ -14,7 +14,7 @@ alternative_names:
 
 
 description: |
-  Encodes \(K\) states (codewords) into a complex projective space \(\mathbb{C}P^N\), the space of lines in complex space. The space for \(N=2\) is called the complex projective plane.
+  Encodes \(K\) states (codewords) into a complex projective space \(\mathbb{C}P^N\), the space of lines in a complex vector space. The space for \(N=2\) is called the complex projective plane.
 
 
 notes:

codes/quantum/qubits/subsystem/topological/color/2d_subsystem_color.yml

@@ -18,7 +18,7 @@ description: |
   The original topological subsystem-code example is defined on the Union Jack lattice \cite{arxiv:0908.4246}; the square-octagon-lattice hypergraph construction of \cite{arxiv:1012.0425} reproduces the same code from a complementary viewpoint.
 
 protection: |
-  One family of subsystem codes has parameters \([[3m,2g,2m+2g-2,d]]\), where \(m\) is the number of vertices of the original embedded two-colex, where \(g\) is the genus of the surface embedding the two-colex, and where the distance is bounded from below by the length of the smallest nontrivial homological cycle of the two-colex \(\Gamma\) \cite[Construction B]{arxiv:1207.0479}\cite[Lemma 2]{arxiv:1805.12542}.
+  One family of subsystem codes has parameters \([[3m,2g,2m+2g-2,d]]\), where \(m\) is the number of vertices of the original embedded two-colex, \(g\) is the genus of the surface embedding the two-colex, and the distance is bounded from below by the length of the smallest nontrivial homological cycle of the two-colex \(\Gamma\) \cite[Construction B]{arxiv:1207.0479}\cite[Lemma 2]{arxiv:1805.12542}.