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arXiv · 2206.13868

Chattering Phenomenon in Quantum Optimal Control

R. Robin·U. Boscain·M. Sigalotti·D. Sugny
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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.

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R. Robin, U. Boscain, M. Sigalotti, D. Sugny. 2022-06-28. Chattering Phenomenon in Quantum Optimal Control. https://doi.org/10.1088/1367-2630%2Facab24

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