Chattering Phenomenon in Quantum Optimal Control

• URL: http://arxiv.org/abs/2206.13868v2
• Date: Mon, 2 Jan 2023 13:28:00 GMT
• Title: Chattering Phenomenon in Quantum Optimal Control
• Authors: R. Robin, U. Boscain, M. Sigalotti and D. Sugny
• Abstract summary: We present a quantum optimal control problem which exhibits a chattering phenomenon. We characterize the local optimal synthesis, which is then globalized by a suitable numerical algorithm.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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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