hybrid code examples

codes/quantum/qubits/oa_stabilizer/hybrid_7_1-1_3.yml

@@ -0,0 +1,29 @@
+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: hybrid_7_1-1_3
+physical: qubits
+logical: qubits
+
+name: '\([[7, 1:1, 3]]\) hybrid stabilizer code'
+introduced: '\cite{arxiv:1701.06963}'
+
+description: |-
+  A distance-three seven-qubit hybrid stabilizer code storing one qubit and one classical bit.
+  Admits a stabilizer generator set with a weight-two generator, which delineates the underlying classical code \cite[Eq. (3)]{arxiv:1911.12260}.
+
+
+relations:
+  parents:
+    - code_id: hybrid_stabilizer
+    - code_id: small_distance_quantum
+
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2024-07-03'

codes/quantum/qubits/oa_stabilizer/stab_8_2-1_oaqecc.yml → codes/quantum/qubits/oa_stabilizer/hybrid_8_2-1_3.yml

@@ -3,7 +3,7 @@
 ##       https://github.com/errorcorrectionzoo       ##
 #######################################################
 
-code_id: oastab_8_2-1_3
+code_id: hybrid_8_2-1_3
 physical: qubits
 logical: qubits
 

codes/quantum/qubits/oa_stabilizer/hybrid_stabilizer.yml

@@ -31,6 +31,10 @@ relations:
       detail: 'Any qubit stabilizer code can be converted into a hybrid stabilizer code by using some its qubits to store only classical information \cite{arxiv:0802.2414}.'
     - code_id: non_stabilizer
       detail: 'The algebraic structure of a hybrid stabilizer code is the same as that of a USt code whose cosets are indexed by a linear binary code \cite{arxiv:0802.2414}.'
+    - code_id: shor_nine
+      detail: 'The Shor code can be modified to store three additional classical bits to yield a \([[9,1:3,3]]\) hybrid stabilizer code \cite{arxiv:0802.2414}.'
+    - code_id: iceberg
+      detail: 'The \([[2m+1,2m+2:1,2]]\) hybrid stabilizer code \cite{arxiv:1911.12260} (extendable to modular qudits \cite{arxiv:2002.11075}) is closely related to the \([[2m,2m-2,2]]\) qubit stabilizer code.'
 
 
 # Begin Entry Meta Information