Nathan Claudet

I am currently a 3rd year PhD student in Nancy, France. I work under the supervision of Simon Perdrix at Inria in the MOCQUA team. My research is mainly focused on studying the entanglement of graph states, quantum states in one-to-one correspondence with undirected graphs. Together with Simon Perdrix, I have been designing a graph rule that completely captures whether two graph states share the same entanglement.

Publications and Preprints

List also available on arXiv.

• Deciding Local Unitary Equivalence of Graph States in Quasi-Polynomial Time.
  With Simon Perdrix.
  arxiv preprint
• Local Equivalence of Stabilizer States: a Graphical Characterisation.
  With Simon Perdrix.
  42nd International Symposium on Theoretical Aspects of Computer Science (STACS 2025).
  28th Annual Quantum Information Processing Conference (QIP 2025).
  arxiv preprint
• Covering a Graph with Minimal Local Sets.
  With Simon Perdrix.
  50th International Workshop on Graph-Theoretic Concepts in Computer Science (WG 2024).
  arxiv preprint
• Vertex-Minor Universal Graphs for Generating Entangled Quantum Subsystems.
  With Maxime Cautrès, Mehdi Mhalla, Simon Perdrix, Valentin Savin and Stéphane Thomassé.
  51st EATCS International Colloquium on Automata, Languages, and Programming (ICALP 2024).
  arxiv preprint
• Small k-Pairable States.
  With Simon Perdrix and Mehdi Mhalla.
  arxiv preprint