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Q: Fachverband Quantenoptik und Photonik

Q 59: Quantum Information (Concepts and Methods) V

Q 59.3: Talk

Friday, March 15, 2019, 11:00–11:15, S HS 001 Chemie

Making geometric phases topological — Pedro Aguilar¹, Chryssomalis Chryssomalakos¹, Edgar Guzmán-González¹, Louis Hanotel¹, and •Eduardo Serrano-Ensástiga^1,2 — ¹Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, CDMX, Mexico — ²Institut für Theoretische Physik, Universität Tübingen, Tübingen, Germany

We show how special quantum spin states can be used to implement geometric phases with exceptional noise resilience under particular evolutions, which has possible applications to holonomic quantum computation. We discuss the abelian and non-abelian cases and describe how to find their respective special states using a generalization of the Majorana stellar representation.