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Chattering phenomenon in quantum optimal control
Rémi Robin, U. Boscain, M. Sigalotti, D. Sugny·June 28, 2022·DOI: 10.1088/1367-2630/acab24
Physics
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Abstract
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.