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codes/quantum/qubits/qubits_into_qubits.yml

@@ -125,9 +125,9 @@ features:
   decoders:
     - 'Incorporating faulty syndrome measurements can be done using the \textit{phenomenological noise model}, which simulates errors during syndrome extraction by flipping some of the bits of the measured syndrome bitstring. In the more involved \textit{circuit-level noise model}, every component of the syndrome extraction circuit can be faulty.'
     - 'The decoder determining the most likely error given a noise channel is called the \textit{maximum probability error} (MPE) decoder. For few-qubit codes (\(n\) is small), MPE decoding can be based by creating a lookup table. For infinite code families, the size of such a table scales exponentially with \(n\), so approximate decoding algorithms scaling polynomially with \(n\) have to be used.'
-    - '\begin{defterm}{Effective distance and \hyperref[topic:effective-distance]{hook errors}}
+    - '\begin{defterm}{Effective distance and hook errors}
       \label{topic:effective-distance}
-      Decoders are characterized by an effective distance (a.k.a. \textit{circuit-level distance}), the minimum number of faulty operations during syndrome measurement that is required to make an undetectable error. A code is \textit{distance-preserving} if it admits a decoder whose circuit-level distance is equal to the code distance. A particularly dangerous class of syndrome measurement circuit faults are \textit{\hyperref[topic:effective-distance]{hook errors}}, which are faults that cause more than one data-qubit error \cite{arxiv:quant-ph/0110143}. \hyperref[topic:effective-distance]{hook errors} occur at specific places in a syndrome extraction circuit and can sometimes be removed by re-ordering the gates of the circuit. If not, the use of \textit{flag qubits} (see \cite{preset:GottesmanBook}) to detect \hyperref[topic:effective-distance]{hook errors} may be necessary to yield fault-tolerant decoders. 
+      Decoders are characterized by an effective distance (a.k.a. \textit{circuit-level distance}), the minimum number of faulty operations during syndrome measurement that is required to make an undetectable error. A code is \textit{distance-preserving} if it admits a decoder whose circuit-level distance is equal to the code distance. A particularly dangerous class of syndrome measurement circuit faults are \textit{hook errors}, which are faults that cause more than one data-qubit error \cite{arxiv:quant-ph/0110143}. Hook errors occur at specific places in a syndrome extraction circuit and can sometimes be removed by re-ordering the gates of the circuit. If not, the use of \textit{flag qubits} (see \cite{preset:GottesmanBook}) to detect hook errors may be necessary to yield fault-tolerant decoders. 
       \end{defterm}'
   fault_tolerance:
     - 'There are lower bounds on the overhead of fault-tolerant QEC in terms of the capacity of the noise channel \cite{arxiv:2202.00119}. A more stringent bound applies to geometrically local QEC due to the fact that locality constrains the growth of the entanglement that is needed for protection \cite{arxiv:2302.04317}.'