Bonn 2025 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 63: Poster – Quantum Information (joint session QI/Q)
Q 63.66: Poster
Donnerstag, 13. März 2025, 17:00–19:00, Tent
Quantum strategies for rendezvous and domination tasks on graphs with mobile agents — •Giuseppe Viola1 and Piotr Mironowicz2,3,4 — 1University of Siegen, Siegen, Germay — 2University of Gdansk, Gdansk, Poland — 3Stockholm University, Stockholm, Sweden — 4Gdansk University of Technology, Gdansk, Poland
This work explores the application of quantum non-locality, a renowned and unique phenomenon acknowledged as a valuable resource. Focusing on a novel application, we demonstrate its quantum advantage for mobile agents engaged in specific distributed tasks without communication. The research addresses the significant challenge of rendezvous on graphs and introduces a new distributed task for mobile agents grounded in the graph domination problem. Through an investigation across various graph scenarios, we showcase the quantum advantage. Additionally, we scrutinize deterministic strategies, highlighting their comparatively lower efficiency compared to quantum strategies. The work concludes with a numerical analysis, providing further insights into our findings.
Keywords: graph; communication task; sdp; quantum advantage