database link

codes/quantum/properties/block/block_quantum.yml

@@ -77,7 +77,7 @@ features:
       \end{defterm}'
 
 notes:
-  - 'Tables of linear-programming upper bounds on general block quantum codes for various \(n\), \(k\), and \(q\), based on algorithms developed in Refs. \cite{doi:10.1007/978-3-540-37634-7_13,arxiv:2405.15057}, are maintained by M. Grassl at this \href{http://codetables.markus-grassl.de/}{website}.'
+  - 'Tables of linear-programming upper bounds on general block quantum codes for various \(n\), \(k\), and \(q\), based on algorithms developed in Refs. \cite{doi:10.1007/978-3-540-37634-7_13,arxiv:2405.15057}, are maintained by M. Grassl at this \href{http://codetables.markus-grassl.de/}{website}. A Magma implementation exists at this \href{https://magma.maths.usyd.edu.au/magma/handbook/text/1976}.'
   - 'States of block quantum codes can be classified in terms of the complexity of their underlying encoding circuit; see \href{https://complexityzoo.net/Complexity_Zoo_Exhibit}{Complexity Zoo exhibit}.'
 
 

codes/quantum/qubits/stabilizer/qubit_stabilizer.yml

@@ -170,7 +170,8 @@ features:
 
 notes:
   - 'Introductions to stabilizer codes can be found in \cite{arxiv:quant-ph/9705052,preset:PreskillNotes,doi:10.1002/9783527618637.ch1}.'
-  - 'Tables of bounds and examples of stabilizer codes for various \(n\) and \(k\), based on algorithms developed in Ref. \cite{doi:10.1007/978-3-540-37634-7_13}, are maintained by M. Grassl at this \href{http://codetables.markus-grassl.de/}{website}.'
+  - 'Tables of bounds and examples of stabilizer codes for various \(n\) and \(k\), based on algorithms developed in Ref. \cite{doi:10.1007/978-3-540-37634-7_13}, are maintained by M. Grassl at this \href{http://codetables.markus-grassl.de/}{website}. A Magma implementation exists at this \href{https://magma.maths.usyd.edu.au/magma/handbook/text/1976}.'
+  - 'See Quantum Codes qubit stabilizer database, maintained by N. Aydin, P. Liu, and B. Yoshino \cite{arxiv:2106.12065,arxiv:2108.03567}, at this \href{http://quantumcodes.info/}{website}.'
   - 'Review on magic state distillation \cite{doi:10.1002/qua.24856}.'
   - 'There is a correspondence between stabilizer codes and bilocal Clifford entanglement distillation circuits \cite{arxiv:2303.11465}.'
   - 'The overlap between any stabilizer codeword and any \(n\)-qubit product state is at most \(2/2^d\) \cite[Thm. 2]{arxiv:2405.01332}.'

codes/quantum/qudits_galois/stabilizer/galois_stabilizer.yml

@@ -70,9 +70,9 @@ features:
     - 'Syndrome extraction and computation based on classical additive codes \cite{doi:10.1103/PhysRevA.103.042420}.'
 
 notes:
-  - 'Tables of bounds and examples of Galois-qudit stabilizer codes for various \(n\) and \(k\), based on algorithms developed in Refs. \cite{doi:10.1007/978-3-540-37634-7_13,arxiv:2405.15057}, are maintained by M. Grassl at this \href{http://codetables.markus-grassl.de/}{website}. A modular-qudit stabilizer code with composite dimension \(q\) contains a subcode that is isomorphic to a \(p\)-dimensional prime-qudit stabilizer code for every prime factor \(p\) of \(q\), and the distance of the full stabilizer code is upper bound by the distance of this subcode \cite{manual:{Markus Grassl, private communication, 2024}}.'
+  - 'Tables of bounds and examples of Galois-qudit stabilizer codes for various \(n\) and \(k\), based on algorithms developed in Refs. \cite{doi:10.1007/978-3-540-37634-7_13,arxiv:2405.15057}, are maintained by M. Grassl at this \href{http://codetables.markus-grassl.de/}{website}. A Magma implementation exists at this \href{https://magma.maths.usyd.edu.au/magma/handbook/text/1976}. A modular-qudit stabilizer code with composite dimension \(q\) contains a subcode that is isomorphic to a \(p\)-dimensional prime-qudit stabilizer code for every prime factor \(p\) of \(q\), and the distance of the full stabilizer code is upper bound by the distance of this subcode \cite{manual:{Markus Grassl, private communication, 2024}}.'
   - 'The number of Galois-qudit stabilizer codes was determined in Ref. \cite{arxiv:quant-ph/0602001}.'
-  - 'See Quantum Codes qudit stabilizer database, maintained by N. Aydin, P. Liu, and B. Yoshino, at this \href{http://quantumcodes.info/}{website}.'
+  - 'See Quantum Codes qudit stabilizer database, maintained by N. Aydin, P. Liu, and B. Yoshino \cite{arxiv:2106.12065,arxiv:2108.03567}, at this \href{http://quantumcodes.info/}{website}.'
   - 'Review of nonbinary stabilizer codes \cite{doi:10.1201/9781584889007-18}.'
 
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