~

codes/quantum/qubits/qubits_into_qubits.yml

@@ -91,7 +91,7 @@ protection: |
   Semidefinite programming (SDP) hierarchies and a quantum Delsarte bound have been developed \cite{arxiv:2408.10323}.
 
 features:
-  rate: 'Exact two-way assisted capacities have been obtained for the erasure and dephasing channels \cite{arxiv:1510.08863}.'
+  rate: 'Exact two-way assisted capacities have been obtained for the erasure and dephasing channels \cite{arxiv:1510.08863}. There are many bounds on the quantum capacity of the depolarizing channel (e.g., \cite{arxiv:quant-ph/0607039}); see review \cite{arxiv:1801.02019}.'
   transversal_gates:
     - 'A qubit code is \(U\)-\textit{quasi-transversal} if it can realize the logical gate \(U\) in the third level of the \term{Clifford hierarchy} using the physical gate \(C T^{\otimes n}\), where \(C\) is some Clifford gate \cite[Def. 4]{arxiv:1606.01904}.'
   general_gates:

codes/quantum/qubits/stabilizer/convolutional/quantum_turbo.yml

@@ -18,7 +18,7 @@ features:
     - 'Encoders of codes with polynomial distance encoders yield catastrophic errors, but code with bounded distance admit non-catastrophic encoders.'
   decoders:
     - 'Turbo decoder \cite[Sec. V]{arxiv:0712.2888}.'
-    - 'Modified decoder yield improvement over the memoryless depolarizing channel \cite{arxiv:1010.1256}.'
+    - 'Modified decoder yields improvement over the memoryless depolarizing channel \cite{arxiv:1010.1256}.'
 
 relations:
   parents:

codes/quantum/qubits/stabilizer/topological/color/2d_color/2d_color.yml

@@ -83,8 +83,8 @@ relations:
         This process can be viewed as an ungauging \cite{arxiv:1202.3120,arxiv:1605.01640,arxiv:1806.08679,arxiv:1806.08679} of certain symmetries.
   cousins:
     - code_id: surface
-      detail: 'The 2D color code is equivalent to multiple decoupled copies of the 2D surface code via a local constant-depth Clifford circuit \cite{arxiv:1007.4601,arxiv:1503.02065,arxiv:1804.00866}.
-      This process can be viewed as an ungauging \cite{arxiv:1202.3120,arxiv:1605.01640,arxiv:1806.08679,arxiv:1806.08679} of certain symmetries.
+      detail: 'The 2D color code is equivalent to multiple decoupled copies of the 2D surface code via a local constant-depth Clifford circuit \cite{arxiv:1007.4601,arxiv:1503.02065,arxiv:1804.00866} and has the same topological entanglement entropy \cite{arxiv:0809.4276}.
+      The convertion process can be viewed as an ungauging \cite{arxiv:1202.3120,arxiv:1605.01640,arxiv:1806.08679,arxiv:1806.08679} of certain symmetries.
       Conversely, the 2D color code can \hyperref[topic:code-switching]{condense} to form the 2D surface code in nine different ways, i.e., by adding two body hopping terms along one of its three triangular directions to the stabilizer group and then taking the center of the resulting nonabelian group \cite{arxiv:2212.00042}.
       Both the surface and 2D color codes can be constructed from two distinct types of lattices, namely, 4-valent and 3-valent 3-colorable lattices, respectively \cite{arxiv:1107.3502}.'
     - code_id: 3d_color