qldpc ref

codes/quantum/properties/stabilizer/qldpc/good_qldpc.yml

@@ -30,12 +30,17 @@ description: |
     See \cite[Fig. 12]{arxiv:2402.16831} for more relationships between the constructions.
 
 
+features:
+  rate: 'The codes'' rate and distance are both separated from zero as block length goes to infinity. AEL distance amplification can be used to construct asymptotically good QLDPC codes that approach the quantum Singleton bound \cite[Corr. 5.3]{arxiv:2212.09935}.'
+
 relations:
   parents:
     - code_id: qldpc
   cousins:
     - code_id: translationally_invariant_stabilizer
       detail: 'Chain complexes describing some good QLDPC codes can be ''lifted'' into higher-dimensional manifolds admitting some notion of geometric locality \cite{arxiv:2012.02249,arxiv:2309.16104}. Applying this procedure to good QLDPC codes yiels \([[n,n^{1-2/D},n^{1-1/D}]]\) lattice stabilizer codes in \(D\) spatial dimensions that saturate the \hyperref[topic:bpt-bound]{BPT bound}, up to corrections poly-logarithmic in \(n\) \cite{arxiv:2303.06755}.'
+    - code_id: quantum_mds
+      detail: 'AEL distance amplification can be used to construct asymptotically good QLDPC codes that approach the quantum Singleton bound \cite[Corr. 5.3]{arxiv:2212.09935}.'
 
 
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