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codes/quantum/qubits/fermions/majorana_stab.yml

@@ -21,7 +21,10 @@ description: |
 
 # f in subscript should be bold, but this requires changing mathjax input
 
-protection: 'Detects products of Majorana operators with weight up to \(d-1\). Physically, protects against dephasing errors caused by coupling of fermion density to the environment and bit-flip errors caused by quasiparticle poisoning processes.'
+protection: |
+  Detects products of Majorana operators with weight up to \(d-1\). Physically, protects against dephasing errors caused by coupling of fermion density to the environment and bit-flip errors caused by quasiparticle poisoning processes.
+
+  Code bounds have been developed for small codes \cite{arxiv:1703.00612}.
 
 features:
   encoders:
@@ -49,6 +52,8 @@ relations:
       detail: 'Majorana stabilizer codes can be constructed by self-orthogonal RM codes \cite{arXiv:1703.00459}. These codes have the additional property that the global fermion parity is fixed in the codespace. In this family of codes, logical measurements are reduced to parity measurements of some subset of Majorana fermions in the code.'
     - code_id: stabilizer
       detail: 'Majorana stabilizer codes are useful for Majorana-based architectures, where the degrees of freedom are electrons, and the notion of locality is different than all other code kingdoms.'
+    - code_id: hamming
+      detail: 'Majorana Hamming codes are codes closely related to the classical Hamming codes \cite{arxiv:1703.00612}.'
 
 
 # Begin Entry Meta Information

codes/quantum/qubits/fermions/mbq.yml

@@ -12,7 +12,7 @@ introduced: '\cite{arXiv:cond-mat/0010440,arXiv:1609.01697,arxiv:1610.05289}'
 
 description: |
   An \([[n,1,2]]_{f}\) Majorana stabilizer code forming the even-fermion-parity ground-state subspace of two parallel Kitaev Majorana chains in their fermionic topological phase.
-  The \([[2,1,2]]_{f}\) version is called the \text{tetron Majorana code}.
+  The \([[2,1,2]]_{f}\) version is called the \textit{tetron Majorana code}.
   An \([[3,2,2]]_{f}\) extension using three Kitaev chains and housing two logical qubits of the same parity is called the \textit{hexon Majorana code}.
   Similarly, \textit{octon}, \textit{decon}, and \textit{dodecon} are codes defined by the positive-parity subspace of \(4\), \(5\), and \(6\) fermionic modes, respectively \cite{arxiv:1801.08143}.