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SUMMARY:Asymmetric graphs with quantum symmetry - Josse van Dobben de Bruy
 n (Technical University of Denmark)
DTSTART:20241205T145000Z
DTEND:20241205T153000Z
UID:TALK218650@talks.cam.ac.uk
DESCRIPTION:Quantum isomorphisms of graphs form a bridge between between n
 oncommutative geometry (NCG) and quantum information theory (QIT)\, as the
 y connect quantum automorphism groups of graphs with nonlocal games. This 
 makes it possible to use techniques from QIT in NCG and vice versa. In thi
 s talk\, I will present a striking application of this connection\, where 
 we use ideas from QIT to prove a surprising result in NCG. Using a constru
 ction similar to the Mermin&ndash\;Peres magic square from QIT\, we constr
 uct graphs with trivial automorphism group and non-trivial quantum automor
 phism group\, which shows that even graphs with no symmetry at all can hav
 e hidden quantum symmetries. To our knowledge\, these are the first known 
 examples of any kind of commutative spaces in NCG with this property.\nThi
 s talk is based on joint work with David E. Roberson (Technical University
  of Denmark) and Simon Schmidt (Ruhr University Bochum).
LOCATION:Seminar Room 1\, Newton Institute
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