AUDIT two_dimensional_hyperbolic_surface

Fix two misattributed citations and swap two mislabeled threshold items.

- The 1%-5% minimum-weight-decoding threshold for the {5,4} tiling is from
  Breuckmann-Terhal (arXiv:1506.04029, Sec. V), not arXiv:1208.2317, which
  concerns generic LDPC codes and never mentions hyperbolic tilings. The
  following sentence on the distance lower bound is from the same paper.
  That threshold assumes noiseless syndrome extraction, so it belongs under
  code_capacity_threshold.
- The 1.3% figure of arXiv:1703.00590 is for a phenomenological (noisy
  parity check) model, so it belongs under threshold, not
  code_capacity_threshold.
- Dropped the duplicated statistical-mechanics decoder item citing
  arXiv:1804.01950, which treats hypergraph-product codes and never mentions
  hyperbolic codes. The same statement with the correct citation
  (arXiv:1805.00644) already appears under code_capacity_threshold.
- Escaped the braces in \({5,4}\) so the tiling renders.

Co-authored-by: Copilot <223556219+Copilot@users.noreply.github.com>

Author: Tamara

codes/quantum/qubits/stabilizer/topological/surface/hyperbolic/2d_hyperbolic/two_dimensional_hyperbolic_surface.yml

@@ -29,15 +29,14 @@ features:
 
   decoders:
     - 'Due to the symmetries of hyperbolic surface codes, optimal measurement schedules of the stabilizers can be found \cite{arxiv:2010.09626}.'
-    - 'Bounds on code capacity thresholds using ML decoding can be obtained by mapping the effect of noise on the code to a statistical mechanical model \cite{arxiv:1804.01950}.'
     - 'Two flag-based decoders \cite{arxiv:2409.14283}.'
 
   code_capacity_threshold:
     - 'Bounds on code capacity thresholds using ML decoding can be obtained by mapping the effect of noise on the code to a statistical mechanical model \cite{arxiv:1805.00644}.'
-    - '\(1.3\%\) for a phenomenological noise model for the \(\{4,5\}\)-hyperbolic surface code \cite{arxiv:1703.00590}.'
+    - '1\(\%\) - 5\(\%\) for a \(\{5,4\}\) tiling under minimum-weight decoding with noiseless syndrome extraction \cite{arxiv:1506.04029}. For larger tilings, the lower bound on the distance decreases, suggesting the threshold will also decrease.'
 
   threshold:
-    - '1\(\%\) - 5\(\%\) for a \({5,4}\) tiling under minimum-weight decoding \cite{arxiv:1208.2317}. For larger tilings, the lower bound on the distance decreases, suggesting the threshold will also decrease.'
+    - '\(1.3\%\) for a phenomenological noise model for the \(\{4,5\}\)-hyperbolic surface code \cite{arxiv:1703.00590}.'
 
 
 notes: