SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 46: Quantum Control (joint session QI/Q)

Q 46.4: Talk

Thursday, March 9, 2023, 12:00–12:15, B305

Optimal Control of Bipartite Entanglement with Local Unitary Control — •Emanuel Malvetti — Department of Chemistry, Technische Universität München, Lichtenbergstr. 4, 85737 Garching, Germany — Munich Centre for Quantum Science and Technology & Munich Quantum Valley, Schellingstr. 4, 80799 München, Germany

A pure quantum state on a bipartite system can always be transformed into a diagonal form using local unitary transformations. This is the well-known Schmidt decomposition. Here we consider a closed bipartite system with local unitary control. The Schmidt decomposition allows us to define a reduced control system on the Schmidt values, which is equivalent to the original control system. We will explicitly describe this reduced control system and study its properties. In particular, we will treat the case of rank one drift Hamiltonians and some low dimensional cases in detail.