refs

codes/quantum/qubits/stabilizer/magic/k-orthogonal/quantum_triorthogonal.yml

@@ -45,6 +45,8 @@ relations:
   cousins:
     - code_id: quantum_reed_muller
       detail: 'Classification of triorthogonal codes yields a connection to Reed-Muller polynomials \cite{arxiv:2107.09684}.'
+    - code_id: self_dual
+      detail: 'Self-dual binary codes can be used to construct triorthogonal codes \cite{arxiv:2408.09685}.'
 
 
 # Begin Entry Meta Information

codes/quantum/qubits/stabilizer/qldpc/homological/balanced_product/lp/qcga.yml

@@ -19,6 +19,8 @@ description: |
   The qubit connectivity graph is not quite a 2D grid and is instead decomposable into two planar subgraphs of degree three; there exists an optimized layout minimizing Euclidean communication distance for check operators \cite{arxiv:2404.18809}.
   There are \(n\) \(X\) and \(Z\) check operators, with each one of weight six.
 
+  Several variants and generalizations exist \cite{arxiv:2406.19151,arxiv:2408.10001}.
+
 protection: |
   Admits an \(0.8\%\) \hyperref[topic:pseudo-threshold]{pseudo-threshold} for circuit-level noise under BP-OSD decoder \cite{arxiv:2308.07915} (cf. \cite{arxiv:0803.0272}).
 

codes/quantum/qubits/stabilizer/topological/surface/higher_d/4d_surface.yml

@@ -36,6 +36,8 @@ features:
     - 'Only logical Clifford gates can be implemented transversally when defined on a hypercubic lattice \cite{arxiv:2010.02238}.'
   general_gates:
     - 'Logical \(CZ\), \(S\), and Hadamard gates when defined on a hypercubic lattice \cite{arxiv:2405.11719}.'
+  decoders:
+    - 'Measurement-free local error correction circuit (LEC) using reinforcement learning \cite{arxiv:2408.09524}.'
   code_capacity_threshold:
     - 'Independent \(X,Z\) noise: \(2.117\%\) with Hastings decoder \cite{arxiv:1609.00510} and \(7.3\%\) with RG decoder for 4D surface code \cite{arxiv:1708.09286}.
     It is conjectured via a statistical-mechanical mapping that the optimal ML decoder yields a threshold of \(11.003\%\) \cite{arxiv:hep-th/0310279}.'