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codes/quantum/properties/stabilizer/topological_stabilizer/2d_stabilizer.yml

@@ -19,7 +19,7 @@ features:
     - 'Standard stabilizer-based error correction can be performed even in the presence of perturbations to the codespace \cite{arxiv:2401.06300,arxiv:2402.14906}.'
   code_capacity_threshold:
     - 'Noise thresholds can be formulated as anyon \hyperref[topic:code-switching]{condensation} transitions in a topological field theory \cite{arxiv:2301.05687}, generalizing the mapping of the effect of noise on a code state to a statistical mechanical model \cite{arxiv:quant-ph/0110143,arXiv:1208.2317,arXiv:1311.7688,arXiv:1809.10704}.
-    Namely, the noise threshold for a noise channel \(\cal{E}\) acting on a 2D stabilizer state \(|\psi\rangle\) can be obtained from the properties of the resulting (mixed) state \(\cal{E}(|\psi\rangle\langle\psi|)\) \cite{arXiv:2301.05238,arxiv:2301.05687,arxiv:2301.05689,arXiv:2309.11879, arXiv:2401.17359}.'
+    Namely, the noise threshold for a noise channel \(\cal{E}\) acting on a 2D stabilizer state \(|\psi\rangle\) can be obtained from the properties of the resulting (mixed) state \(\mathcal{E}(|\psi\rangle\langle\psi|)\) \cite{arXiv:2301.05238,arxiv:2301.05687,arxiv:2301.05689,arXiv:2309.11879, arXiv:2401.17359}.'
 
 
 relations:

codes/quantum/qubits/stabilizer/topological/color/stellated_color.yml

@@ -19,10 +19,12 @@ features:
 relations:
   parents:
     - code_id: color
+    - code_id: 2d_stabilizer
   cousins:
     - code_id: triangle_surface
       detail: 'Stellated color codes are color-code analogues of triangle surface codes in that both encode logical information in lattices with a single twist defect.
       Instances of the former can be obtained by fattening \cite{arxiv:cond-mat/0607736} the vertices of the latter \cite{arxiv:1806.02820}.'
+# 2D stabilizer is a stretch since defects can induce hyperbolic geometry
 
 
 # Begin Entry Meta Information

codes/quantum/qubits/stabilizer/topological/surface/non-css/twist_defect_surface.yml

@@ -45,6 +45,7 @@ relations:
   cousins:
     - code_id: topological_abelian
       detail: 'Twist-defect surface codes realize \(\mathbb{Z}_2\) topological order with twist defects.'
+# 2D stabilizer is a stretch since defects can induce hyperbolic geometry
 
 
 # Begin Entry Meta Information