~

codes/quantum/groups/rotors/stabilizer/css/homological_rotor.yml

@@ -78,7 +78,7 @@ relations:
   parents:
     - code_id: rotor_stabilizer
     - code_id: generalized_homological_product_css
-      detail: 'Homological rotor codes are formulated using an extension of the \hyperref[topic:CSS-to-homology-correspondence]{qubit CSS-to-homology correspondence} to rotors.
+      detail: 'Homological rotor codes are constructed from chain complexes over the integers in an extension of the \hyperref[topic:CSS-to-homology-correspondence]{qubit CSS-to-homology correspondence} to rotors.
       The homology group of the logical operators has a torsion component because the chain complexes are defined over the ring of integers, which yields codes with finite logical dimension.
       Products of chain complexes can also yield rotor codes.'
 # cousins:

codes/quantum/oscillators/uncategorized/homological_number-phase.yml

@@ -40,6 +40,10 @@ relations:
       detail: 'Rotor analogues of \(k\)-into-\(n\) oscillator-into-oscillator GKP codes can be constructed by initializing \(n-k\) physical rotors in superpositions of phase states and applying a Clifford semigroup encoding circuit \cite{arxiv:2311.07679}.'
     - code_id: number_phase
       detail: 'Homological number-phase codes and number-phase codes are both manifestations of certain rotor codes, namely, the homological rotor codes and rotor GKP codes, respectively.'
+    - code_id: generalized_homological_product_css
+      detail: 'Homological number-phase codes are constructed from chain complexes over the integers.
+      The homology group of the logical operators has a torsion component because the chain complexes are defined over the ring of integers, which yields codes with finite logical dimension.
+      Products of chain complexes can also yield rotor codes.'
 
 # - code_id: generalized_homological_product_css
 #   detail: 'Homological number-phase codes are mappings of \hyperref[code:homological_rotor]{homological rotor codes} into harmonic oscillators, so they are based on the rotor version of the \hyperref[topic:CSS-to-homology-correspondence]{qubit CSS-to-homology correspondence}.'