ssw

codes/quantum/qubits/small_distance/iceberg.yml

@@ -16,6 +16,8 @@ alternative_names:
 
 description: |
   CSS stabilizer code for \(m\geq 2\) with generators \(\{XX\cdots X, ZZ\cdots Z\} \) acting on all \(2m\) physical qubits.
+  This is the highest-rate distance-two code when an even number of qubits is used \cite{arxiv:quant-ph/9608006}.
+
   Admits a basis such that each codeword is a superposition of a computational basis state labeled by a bitstring \(b\) and a state labeled by the negation of \(b\).
   Such states generalize the two-qubit Bell states and three-qubit GHz states and are often called \textit{(qubit) cat states} or \textit{poor-man's GHz states}.
 

codes/quantum/qubits/small_distance/small/ssw.yml

@@ -0,0 +1,32 @@
+#######################################################
+## This is a code entry in the error correction zoo. ##
+##       https://github.com/errorcorrectionzoo       ##
+#######################################################
+
+code_id: ssw
+physical: qubits
+logical: qubits
+
+name: 'Smolin-Smith-Wehner code'
+introduced: '\cite{arXiv:quant-ph/0701065}'
+
+description: |
+  A family of \(((n=4k+2l+3,M_{k,l},2))\) CWS codes, where \(M_{k,l} \approx 2^{n-2}(1-\sqrt{2/(\pi(n-1))})\),  whose codewords are superpositions of particular bitstrings and their complements.
+  For \(n \geq 11\), these codes have a logical subspace whose dimension is larger than that of the largest stabilizer code for the same \(n\) and \(d\).
+
+
+relations:
+  parents:
+    - code_id: cws
+    - code_id: small_distance_quantum
+  cousins:
+    - code_id: iceberg
+      detail: 'Smolin-Smith-Wehner and iceberg codewords are superpositions of particular bitstrings and their complements.'
+
+
+# Begin Entry Meta Information
+_meta:
+  # Change log - most recent first
+  changelog:
+    - user_id: VictorVAlbert
+      date: '2023-11-29'