Berlin 2024 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 9: Focus Session: Quantum Interactive Dynamics II (joint session DY/TT)

DY 9.7: Talk

Monday, March 18, 2024, 17:15–17:30, A 151

Quantum control on MPS manifolds — Marko Ljubotina, •Elena Petrova, and Maksym Serbyn — IST Austria, Am Campus 1, 3400 Klosterneuburg, Austria

The progress of quantum devices necessitates the development of methods for determining the optimal steering operators, that can efficiently drive quantum systems along desired trajectories of states. In my talk, I will introduce a method for constructing such operators using matrix product states (MPS). Our technique is able to build operators with different supports. To evaluate the effectiveness of our approach, we test it on a specific trajectory. Our analysis involves a comparison of operators with various supports and different free parameter choices. We identify the optimal set of parameters and demonstrate converging behaviour as the support size is increased. The resulting Floquet systems for the closed trajectory of our choice violate the Eigenstate Thermalization Hypothesis (ETH).

Keywords: Quantum control; Matrix product states