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errorcorrectionzoo · Oct 29, 2023 · 86e8593 · 86e8593
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diff --git a/codes/quantum/properties/quantum_concatenated.yml b/codes/quantum/properties/quantum_concatenated.yml
@@ -12,6 +12,8 @@ description: 'A combination of two codes, an inner code \(C\) and an outer code
 #protection: ''
 
 features:
+  decoders:
+    - 'The effective channel for a concatenation of codes is the composition of the codes'' effective channels \cite{arxiv:quant-ph/0206061}.'
   threshold:
     - 'The first method to achieve a fault-tolerant computational threshold uses concatenated stabilizer codes \cite{arxiv:quant-ph/9702058,arxiv:quant-ph/9906129,arXiv:quant-ph/9705031,arXiv:quant-ph/0504218}. Such methods require constant-space and polylogarithmic time overhead, but concatentions using quantum Hamming codes improve this to quasi-polylogarithmic time \cite{arxiv:2207.08826}.'
 

diff --git a/codes/quantum/qubits/small_distance/small/steane.yml b/codes/quantum/qubits/small_distance/small/steane.yml
@@ -65,6 +65,9 @@ relations:
     - code_id: diagonal_clifford
     - code_id: quantum_hamming_css
     - code_id: single_qubit_clifford
+  cousins:
+    - code_id: quantum_concatenated
+      detail: 'The concatenated Steane code is one of the first codes to admit a concatenated threshold \cite{arxiv:quant-ph/9702058,arxiv:quant-ph/9809054,arxiv:quant-ph/0207119}. Randomized compiling helps reduce logical error rate for some noise models \cite{arxiv:2303.06846}.'
 
 #      detail: 'Steane code is the smallest member of a family of Reed-Muller-based CSS codes.'
 #      detail: 'Steane code is the smallest member of a family of Hamming-based CSS codes.'