refs

codes/quantum/qubits/ea_stabilizer/eastab.yml

@@ -19,6 +19,9 @@ description: |
 
   An \([[n,k+e;e]]\) EA stabilizer code can be constructed from an ordinary \([[n,k]]\) stabilizer code with check matrix \(H=(A|B)\), where the required number of ebits is \(e = \text{rank}(AB^T+BA^T)\) \cite{arxiv:0804.1404}.
 
+protection: |
+  There are quantum Griesmer \cite{doi:10.1007/s11128-015-1143-5} and Plotkin \cite{doi:10.1103/PhysRevA.87.032309} bounds for EA qubit stabilizer codes.
+
 features:
   rate: 'Asymptotically good EA qubit stabilizer codes exist \cite{doi:10.1007/s10623-014-9997-6}.'
   encoders:
@@ -50,6 +53,11 @@ relations:
       detail: 'As opposed to CSS codes, EA qubit stabilizer codes can be constructed from any linear binary code.'
     - code_id: hybrid_qudit_oscillator
       detail: 'A minimal EA qubit stabilizer code has been realized in using hyper-entangled states \cite{arxiv:0807.4906}.'
+    - code_id: qubit_concatenated
+      detail: 'There exist concatenated EA qubit stabilizer codes that saturate the EA quantum Griesmer and Plotkin bounds \cite{arxiv:2412.16082}.'
+    - code_id: ea_mds
+      detail: 'There exist concatenated EA qubit stabilizer codes that saturate the EA quantum Singleton bound \cite{arxiv:2412.16082}.'
+
 
 
 # Begin Entry Meta Information

codes/quantum/qubits/subsystem/topological/heavy_hex.yml

@@ -33,12 +33,14 @@ features:
 
   general_gates:
     - 'Universal gate set achieved with magic state injection and lattice surgery.'
+    - 'Magic-state injection with and without flag qubits \cite{arxiv:2412.15751}.'
 
   decoders:
     - 'Any graph-based decoder can be used, such as MWPM and Union Find. However, edge weights must be dynamically renormalized using flag-qubit measurement outcomes after each syndrome measurement round.'
     - 'Machine-learning \cite{arxiv:2210.09730} and neural-network \cite{arxiv:2311.15146} decoders.'
 
 
+
   fault_tolerance:
     - 'All logical gates can be fault-tolerantly implemented using lattice surgery and magic state injection.'
     - 'Stabilizer measurements are measured fault-tolerantly using one-flag circuits since some single-fault events can result in weight-two data qubit errors which are parallel to the code''s logical operators. Hence, using information from the flag-qubit measurements is crucial to fault-tolerantly measure the code stabilizers.'