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codes/quantum/qubits/fermion_into_qubit/bksf.yml

@@ -12,7 +12,7 @@ short_name: 'BKSF'
 introduced: '\cite{arxiv:quant-ph/0003137}'
 
 alternative_names:
-  - 'Loop-Stabilized fermion simulation (LSFS) code'
+  - 'Loop-stabilized fermion simulation (LSFS) code'
 # 1701.07072
 
 description: |

codes/quantum/qubits/fermion_into_qubit/bkt.yml

@@ -12,16 +12,16 @@ short_name: 'BKT'
 introduced: '\cite{arxiv:quant-ph/0003137}'
 
 description: |
-  A fermion-into-qubit encoding defined on ternary trees that maps Majorana operators into qubit operators of weight \(\lceil \log (n+1) \rceil\).
-  The code can be reformulated in terms of Fenway trees \cite{doi:10.1002/spe.4380240306} and its locality can be further optimized to yield the \textit{segmented Bravyi-Kitaev (SBK) transformation code} \cite{arxiv:1701.07072}.
+  A fermion-into-qubit encoding that maps Majorana operators into Pauli strings of weight \(\lceil \log (n+1) \rceil\).
+  The code can be reformulated in terms of Fenwick trees \cite{doi:10.1002/spe.4380240306}, and the Pauli-string weight can be further optimized to yield the \textit{segmented Bravyi-Kitaev (SBK) transformation code} \cite{arxiv:1701.07072}.
 
 
 relations:
   parents:
     - code_id: fermions_into_qubits
   cousins:
     - code_id: jw
-      detail: 'The BKT code exponentially improves over the JW transformation code in the weight of encoded fermionic operators \cite{arxiv:1910.10746}.'
+      detail: 'The weight of a Majorana operator in the BKT (JW transformation) code scales logarithmically (linearly) with \(n\), with the former demonstrating an exponential imporvement \cite{arxiv:1910.10746}.'
 
 
 # Begin Entry Meta Information

codes/quantum/qubits/fermion_into_qubit/bvc.yml

@@ -16,7 +16,7 @@ alternative_names:
   - 'Auxiliary fermion code'
 
 description: |
-  A 2D fermion-into-qubit encoding that builds upon the JW transformation encoding by eliminating the weight-\(O(n)\) \(X\)-type string at the expense introducing additional gauge qubits.
+  A 2D fermion-into-qubit encoding that builds upon the JW transformation encoding by eliminating the weight-\(O(n)\) \(X\)-type string at the expense introducing additional qubits.
   See \cite[Sec. IV.B]{arxiv:2201.05153} for details.
 
 protection: |

codes/quantum/qubits/fermion_into_qubit/derby_klassen.yml

@@ -18,7 +18,6 @@ description: |
 protection: |
   Some single-qubit errors are detectable, with the rest inducing low-weight fermionic dephasing noise \cite{arxiv:2003.07125}.
 
-
 relations:
   parents:
     - code_id: qetc

codes/quantum/qubits/fermion_into_qubit/jw.yml

@@ -14,7 +14,7 @@ introduced: '\cite{doi:10.1007/978-3-662-02781-3_9,arXiv:cond-mat/0010440,arxiv:
 description: |
   A mapping between qubit Pauli strings and Majorana operators that can be thought of as a trivial \([[n,n,1]]\) code.
   The mapping is best described as converting a chain of \(n\) qubits into a chain of \(2n\) Majorana modes (i.e., \(n\) fermionic modes).
-  It maps Majorana operators into qubit operators of weight \(O(n)\).
+  It maps Majorana operators into Pauli strings of weight \(O(n)\).
 
   The Majorana modes \(\{\gamma_j\}\) are defined from Pauli strings as follows,
   \begin{align}
@@ -38,9 +38,6 @@ relations:
   parents:
     - code_id: aqm
       detail: 'The AQM fermion-into-qubit code reduces to the JW transformation code when the outer code is trivial.'
-  cousins:
-    - code_id: fermions_into_qubits
-      detail: 'The JW transformation code is the first example of a fermion-into-qubit code.'
 
 
 # Begin Entry Meta Information

codes/quantum/qubits/fermion_into_qubit/mlsc.yml

@@ -12,7 +12,7 @@ short_name: 'MLSC'
 introduced: '\cite{arxiv:1812.08190}'
 
 description: |
-  An single error-correcting fermion-into-qubit encoding defined on 2D qubit lattice whose stabilizers are associated with loops in the lattice.
+  An single error-correcting fermion-into-qubit encoding defined on a 2D qubit lattice whose stabilizers are associated with loops in the lattice.
 
 protection: |
   The code can correct single-qubit errors \cite{arxiv:1812.08190}.

codes/quantum/qubits/fermion_into_qubit/ternary_tree_fermion.yml

@@ -11,7 +11,7 @@ name: 'Ternary-tree fermion-into-qubit code'
 introduced: '\cite{arxiv:1910.10746}'
 
 description: |
-  A fermion-into-qubit encoding defined on ternary trees that maps Majorana operators into qubit operators of weight \(\lceil \log_3 (2n+1) \rceil\).
+  A fermion-into-qubit encoding defined on ternary trees that maps Majorana operators into Pauli strings of weight \(\lceil \log_3 (2n+1) \rceil\).
 
 
 relations: