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Chattering phenomenon in quantum optimal control
R RobinU BoscainM SigalottiD Sugnysubject
Quantum PhysicsFOS: Physical sciencesGeneral Physics and Astronomy[MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]Quantum Physics (quant-ph)description
We present a quantum optimal control problem which exhibits a chattering phenomenon. This is the first instance of such a process in quantum control. Using the Pontryagin Maximum Principle and a general procedure due to V. F. Borisov and M. I. Zelikin, we characterize the local optimal synthesis, which is then globalized by a suitable numerical algorithm. We illustrate the importance of detecting chattering phenomena because of their impact on the efficiency of numerical optimization procedures.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2022-01-01 | New Journal of Physics |