refs

codes/classical/ecc.yml

@@ -25,7 +25,7 @@ relations:
     - code_id: classical_into_quantum
       detail: 'Any ECC can be embedded into a quantum Hilbert space, and thus passed through a quantum channel, by associating elements of the alphabet with basis vectors in a Hilbert space over the complex numbers.
       In other words, classical codewords are elements of an alphabet, while quantum codewords are functions on the alphabet.
-      Classical codes can be unified with quantum codes using an algebraic framework \cite{arxiv:1005.0353}.'
+      Classical codes can be unified with quantum codes using various algebraic frameworks \cite{arxiv:0910.1536,arxiv:1005.0353}.'
 
 
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codes/oaecc.yml

@@ -39,6 +39,7 @@ protection: |
   Indeed, \(\mathcal{A}\) is correctable for \(\mathcal{E}\) if \begin{align}P_{\mathcal{A}} E_j^\dagger E_k P_{\mathcal{A}} \in \mathcal{A}'\end{align}
   for all \(j,k\), where \(\mathcal{A}'\) is the commutant of \(\mathcal{A}\).
 
+  Tradeoffs between error correction and privacy have been studied \cite{arxiv:1811.10425}.
 
 relations:
   parents:

codes/quantum/qubits/hybrid_qubits_into_qubits.yml

@@ -17,8 +17,9 @@ description: |
 protection: |
   Any qubit code can be converted into a hybrid qubit code by using some its qubits to store only classical information \cite{arxiv:0802.2414}.
   An \(((n,K:M))\) hybrid qubit code can detect more errors than an \(((n,KM))\) qubit code \cite{arxiv:1901.02913}.
+  A hybrid Hamming bound has been constructed \cite{arxiv:1806.03702}.
 
-  Quantum weight enumerators, quantum MacWilliams identities, and linear programming bounds have been extended to hybrid qubit codes \cite{arxiv:1701.06963,arxiv:1901.02913,arxiv:1911.12260}
+  Quantum weight enumerators, quantum MacWilliams identities, and linear programming bounds have been extended to hybrid qubit codes \cite{arxiv:1701.06963,arxiv:1901.02913,arxiv:1911.12260}.
 
 
 relations:

codes/quantum/qubits/oa_stabilizer/hybrid_stabilizer.yml

@@ -35,6 +35,12 @@ relations:
       detail: 'The Shor code can be modified to store three additional classical bits to yield a \([[9,1:3,3]]\) hybrid stabilizer code \cite{arxiv:0802.2414}.'
     - code_id: iceberg
       detail: 'The \([[2m+1,2m+2:1,2]]\) hybrid stabilizer code \cite{arxiv:1911.12260} (extendable to modular qudits \cite{arxiv:2002.11075}) is closely related to the \([[2m,2m-2,2]]\) qubit stabilizer code.'
+    - code_id: stab_4_2_2
+      detail: 'The \([[4,2,2]]\) codewords can be modified by signs to yield a \([[4,1:1,2]]\) hybrid stabilizer code \cite{arxiv:1806.03702}.'
+    - code_id: subsystem_stabilizer
+      detail: 'Hybrid stabilizer codes can be constructed from qubit subsystem stabilizer codes by using the gauge qubits of the latter to store classical information \cite[Thm. 4]{arxiv:2012.05896}.'
+    - code_id: subsystem_quantum_parity
+      detail: 'Hybrid stabilizer codes can be constructed from SHP codes by using the gauge qubits of the latter to store classical information \cite[Sec. 4]{arxiv:2012.05896}.'
 
 
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