On quantum symmetries of graphs
Preprint, 2026
Let G be a simple finite graph, and let U(G) be the related quantum graph. We study the game algebra C(Qut(U(G))) of quantum automorphism of U(G). Moreover, we prove that for any graph G with |V(G)|≥3, the quantum graph U(G) admits nonlocal symmetry, meaning that there exists a perfect quantum no-signaling correlation
Non-local game.
Quantum automorphism
Quantum graph
Författare
Olha Ostrovska
National Technical University of Ukraine, Kiev Polytechnic Institute
Vasyl Ostrovskyi
Institute of Mathematics, NAS Ukraine
Lyudmyla Turowska
Chalmers, Matematiska vetenskaper, Analys och sannolikhetsteori
Icke-kommutativanalys för kvantberäkningar
Vetenskapsrådet (VR) (2023-04555), 2024-01-01 -- 2027-12-31.
Fundament
Grundläggande vetenskaper
Ämneskategorier (SSIF 2025)
Matematik