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

@@ -6,7 +6,7 @@
 code_id: 2d_stabilizer
 # includes both Galois and modular
 
-name: '2D topological stabilizer code'
+name: '2D lattice stabilizer code'
 
 description: |
   Lattice stabilizer code in two spatial dimensions.
@@ -23,12 +23,12 @@ relations:
     - code_id: translationally_invariant_stabilizer
   cousins:
     - code_id: surface
-      detail: 'Translation-invariant 2D qubit topological stabilizer codes are equivalent to several copies of the Kitaev surface code via a local constant-depth Clifford circuit \cite{arXiv:1103.4606,arXiv:1107.2707,arXiv:1607.01387}.
+      detail: 'Translation-invariant 2D qubit lattice stabilizer codes are equivalent to several copies of the Kitaev surface code via a local constant-depth Clifford circuit \cite{arXiv:1103.4606,arXiv:1107.2707,arXiv:1607.01387}.
       There exists an algorithm with which one can determine the fusion and braiding rules of a 2D translationally invariant qubit code, and decompose the given code into copies of the surface code \cite{arxiv:2312.11170}.'
     - code_id: quantum_double_abelian
-      detail: 'Translation-invariant 2D prime-qudit topological stabilizer codes are equivalent to several copies of the prime-qudit surface code via a local constant-depth Clifford circuit \cite{arxiv:1812.11193}.'
+      detail: 'Translation-invariant 2D prime-qudit lattice stabilizer codes are equivalent to several copies of the prime-qudit surface code via a local constant-depth Clifford circuit \cite{arxiv:1812.11193}.'
     - code_id: holographic
-      detail: '2D topological stabilizer codes admit a bulk-boundary correspondence similar to that of holographic codes, namely, the boundary Hilbert space of the former cannot be realized via local degrees of freedom \cite{arxiv:2312.04617}.'
+      detail: '2D lattice stabilizer codes admit a bulk-boundary correspondence similar to that of holographic codes, namely, the boundary Hilbert space of the former cannot be realized via local degrees of freedom \cite{arxiv:2312.04617}.'
 
 
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codes/quantum/properties/stabilizer/topological_stabilizer/3d_stabilizer.yml

@@ -6,7 +6,7 @@
 code_id: 3d_stabilizer
 # includes both Galois and modular
 
-name: '3D topological stabilizer code'
+name: '3D lattice stabilizer code'
 
 description: |
   Lattice stabilizer code in three spatial dimensions.

codes/quantum/properties/stabilizer/topological_stabilizer/translationally_invariant_stabilizer.yml

@@ -22,7 +22,7 @@ description: |
 
   Translationally-invariant prime-qudit (\(q=p\)) stabilizer codes with \(m\) qudits per unit cell have been classified in dimensions \(D\in\{1,2\}\) in the thermodynamic limit, up to equivalence under local constant-depth Clifford circuits.
   Any 1D (2D) code can be converted to several copies of the 1D repetition code (prime-qudit 2D surface code) along with some trivial codes \cite{arXiv:1607.01387} (\cite{arXiv:1812.11193}).
-  See 3D topological stabilizer code entry for the 3D classification.
+  See 3D lattice stabilizer code entry for the 3D classification.
 
   \begin{defterm}{Pauli-to-polynomial mapping}
   \label{topic:quantum-polynomial-mapping}

codes/quantum/qubits/stabilizer/fracton/haah_cubic.yml

@@ -30,13 +30,12 @@ features:
 relations:
   parents:
     - code_id: qubit_stabilizer
-    - code_id: fracton
-      detail: 'Haah cubic codes 1-4, 7, 8, and 10 do not have string logical operators and are the first examples of Type-II fracton phases. The remaining codes are fractal Type-I fracton codes \cite{arxiv:1908.08049,arxiv:2001.01722}.'
+    - code_id: qudit_cubic
   cousins:
     - code_id: 3d_color
       detail: 'The 3D color and cubic code families both include 3D codes that do not admit string-like operators.'
     - code_id: higher_dimensional_surface
-      detail: 'The energy of any partial implementation of code 1 is proportional to the boundary length similar to the 4D toric code, which can potentially surpress the effects of thermal errors, but it is currently an open problem.'
+      detail: 'The energy of any partial implementation of Haah cubic code 1 is proportional to the boundary length similar to the 4D toric code, which can potentially surpress the effects of thermal errors, but it is currently an open problem.'
     - code_id: generalized_bicycle
       detail: 'A GB code for the group \(G=\mathbb{Z}_3^{\times 3}\) is the cubic code \cite[Sec. III.A]{arXiv:2012.04068}.'
     - code_id: lifted_product

codes/quantum/qubits/stabilizer/topological/three_fermion.yml

@@ -12,7 +12,7 @@ short_name: '3F model'
 introduced: '\cite{arxiv:2011.04693}'
 
 description: |
-  A 3D topological stabilizer code whose low-energy excitations realize the three-fermion anyon theory \cite{arxiv:0712.1377,arxiv:0811.0911,arxiv:1103.4606} and that can be used as a resource state for fault-tolerant MBQC \cite{arxiv:2011.04693}.
+  A 3D lattice stabilizer code whose low-energy excitations realize the three-fermion anyon theory \cite{arxiv:0712.1377,arxiv:0811.0911,arxiv:1103.4606} and that can be used as a resource state for fault-tolerant MBQC \cite{arxiv:2011.04693}.
 
 features:
   general_gates:

codes/quantum/qudits/qudit_stabilizer.yml

@@ -27,7 +27,7 @@ description: |
   where \(\mathsf{Z}\) denotes taking the center of a group.
   Code switching may not preserve the logical information and instead implement logical measurements; conditions on \(\mathsf{S}\) and \(\mathsf{F}\) such that qubit stabilizer code switching preserves logical information are derived in \cite[Prop. II.1]{arxiv:2304.01277}.
   Clifford operations and Pauli measurements can be expressed as sequences of code switching \cite{arxiv:2401.12017}.
-  In the context of Abelian topological stabilizer codes, code switching implements \textit{anyon condensation} of any anyons represented by operators in the group \(\mathsf{F}\).
+  In the context of stabilizer codes realizing Abelian topological phases, code switching implements \textit{anyon condensation} of any anyons represented by operators in the group \(\mathsf{F}\).
   \end{defterm}
 
   Stabilizer codewords for odd qudit dimension have a specific form per the finite-dimensional version of Hudson's theorem \cite{arxiv:quant-ph/0602001}.

codes/quantum/qudits/topological/fracton/qudit_cubic.yml

@@ -19,12 +19,15 @@ protection: |
 
 relations:
   parents:
-    - code_id: qubit_stabilizer
+    - code_id: qudit_stabilizer
     - code_id: fracton
-      detail: 'There is evidence that a qutrit and a \(q=5\) qudit model from Ref. \cite{arXiv:1202.0052} have no string operators and are thus Type-II fracton codes (see \cite[Eqs. (D11-D13)]{arxiv:1908.08049}).'
+      detail: 'Haah cubic \cite{arXiv:1101.1962} codes 1-4, 7, 8, and 10 do not have string logical operators and are the first examples of Type-II fracton phases. The remaining cubic codes are fractal Type-I fracton codes \cite{arxiv:1908.08049,arxiv:2001.01722}.
+      There is evidence that a qutrit and a \(q=5\) qudit cubic code from Ref. \cite{arXiv:1202.0052} have no string operators and are thus Type-II fracton codes (see \cite[Eqs. (D11-D13)]{arxiv:1908.08049}).'
   cousins:
     - code_id: homological_rotor
-      detail: 'The qudit cubic code can also be generalized to oscillators and rotors \cite{manual:{J. Haah, Two generalizations of the cubic code model, \href{https://online.kitp.ucsb.edu/online/qinfo_c17/haah/}{KITP Conference: Frontiers of Quantum Information Physics, UCSB, Santa Barbara, CA.}},arXiv:1709.04460}.'
+      detail: 'The qudit cubic code can be generalized to rotors \cite{manual:{J. Haah, Two generalizations of the cubic code model, \href{https://online.kitp.ucsb.edu/online/qinfo_c17/haah/}{KITP Conference: Frontiers of Quantum Information Physics, UCSB, Santa Barbara, CA.}},arXiv:1709.04460}.'
+    - code_id: analog_stabilizer
+      detail: 'The qudit cubic code can be generalized to oscillators \cite{arXiv:1709.04460}.'
 
 
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