Hannover 2020 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 3: Quantum Information (Concepts and Methods) I

Q 3.2: Talk

Monday, March 9, 2020, 11:30–11:45, e001

Optimal Control: Scaling of the Control with System Size — •Matthias Mueller — Institute of Quantum Control, Peter Grünberg Institut, Forschungszentrum Jülich

Driving a quantum system with control pulses designed by Optimal Control Theory can considerably speed up desired operations like state transfer or gates and enhance the fidelity of the operations [1]. As the system size scales up, however, more resources (e.g. bandwidth, number of control parameters) are needed to control the system and the complexity of the control task grows [2]. In my contribution I will present the DCRAB algorithm [3] as an optimal control tool that allows to engineer such complex control pulses also under the action of constraints [3]. A proper choice of the control objective can decrease the effective number of parameters needed to achieve the control task [4,5]. A similar effect can be achieved by dynamically tailoring the system into subsystems relevant to the control task, e.g. by Quantum Zeno Interactions.

[1] C. Brif, R. Chakrabarti, and H. Rabitz, N. J. Phys. 12, 075008 (2010) [2] S. Lloyd, S. Montangero, PRL 113, 010502 (2014) [3] N. Rach, MMM, T. Calarco, S. Montangero, PRA 92, 052343 (2015) (ES) [4] MMM, T. Pichler, S. Montangero, T. Calarco, Appl. Phys. B, 122:104 (2016) [5] MMM, D.M. Reich, M. Murphy, H. Yuan, J. Vala, K.B. Whaley, T. Calarco, C.P. Koch, Phys. Rev. A 84, 042315 (2011)