small modification for the description of the cluster-state code

codes/quantum/qubits/stabilizer/mbqc/cluster_state.yml

@@ -33,9 +33,9 @@ description: |
   Fault-tolerant MBQC based on topological error correction uses the three-dimensional RBH cluster state on the bcc lattice \cite{arxiv:quant-ph/0510135,arxiv:quant-ph/0610082}.
 
   Since they are stabilizer states, two cluster states are considered local-Clifford equivalent if they can be mapped into each other under a tensor product of arbitrary \hyperref[topic:clifford]{single-qubit Clifford} operations.
-  For graph states, any such equivalence can be generated by a finite sequence of local complementations (LCs), where local complementation about a vertex complements the induced subgraph on its neighborhood \cite{arxiv:quant-ph/0307130,arxiv:quant-ph/0308151}.
+  For cluster states, any such equivalence can be generated by a finite sequence of local complementations (LCs), where local complementation about a vertex complements the induced subgraph on its neighborhood \cite{arxiv:quant-ph/0307130,arxiv:quant-ph/0308151}.
   More generally, any two local-unitary equivalent cluster states can be mapped into each other by operations at some level of the hierarchy \cite{arxiv:2409.20183}, meaning that general tensor-product unitaries are not needed.
-  Cluster states on \(\leq 19\) qubits are LC equivalent if and only if they are local-unitary equivalent \cite{arxiv:2409.20183}, and there exists a cluster state on \(27\) qubits that is local-unitary but not LC equivalent \cite{arxiv:0709.1266,arxiv:0812.4625,arxiv:1910.03969}.
+  Cluster states on \(\leq 26\) qubits are LC equivalent if and only if they are local-unitary equivalent \cite{arxiv:2603.25219}, and there exists a pair of cluster states on \(27\) qubits that are local-unitary but not LC equivalent \cite{arxiv:0709.1266,arxiv:0812.4625,arxiv:1910.03969,arxiv:1611.06938}.
   Local complementation has been generalized to graphically characterize local unitary equivalence under local Clifford operations and, more generally, at other levels of the \term{Clifford hierarchy} \cite{arxiv:2409.20183}.
 
 protection: |
@@ -177,6 +177,8 @@ relations:
 _meta:
   # Change log - most recent first
   changelog:
+    - user_id: NathanClaudet
+      date: '2026-06-11'
     - user_id: VictorVAlbert
       date: '2026-06-08'
     - user_id: DavidTStephen

users/users_db.yml

@@ -34,6 +34,12 @@
 
 #
 
+- user_id: NathanClaudet
+  name: 'Nathan Claudet'
+  gscholaruser: 'f7wBxrcAAAAJ'
+  githubusername: nathanclaudet
+  pageurl: 'nathanclaudet.fr'
+
 - user_id: ArdaAydin
   name: 'Arda Aydin'
   gscholaruser: B1IwuFcAAAAJ