A Quantum Optimal Control Problem with State Constrained Preserving Coherence

• Type: Article in International Conference Proceedings Book
• Date: 2022

Authors

Dehaghani, NB (Author) Other; Pereira, FL (Author) Other; Aguiar, AP (Author) FEUP

Conference proceedings International

Title: 61st IEEE Conference on Decision and Control, CDC 2022, Cancun, Mexico, December 6-9, 2022

Pages: 5831-5836

61st IEEE Conference on Decision and Control, CDC 2022

6 December 2022 through 9 December 2022

Indexing

ISI Web of Knowledge - 0 Citations

Scopus

Other information

Authenticus ID: P-00X-VRM

DOI: 10.1109/cdc51059.2022.9993086

Abstract (EN): In this work, we address the problem of maximizing fidelity in a quantum state transformation process controlled in such a way as to keep decoherence within given bounds. We consider a three-level L-type atom subjected to Markovian decoherence characterized by non-unital decoherence channels. We introduce fidelity as the performance index for the quantum state transformation process since the goal is to maximize the similarity of the final state density operator with the one of the desired target state. We formulate the quantum optimal control problem with state constraints where the latter reflect the fact that the decoherence level remains within a pre-defined bound. Optimality conditions of Pontryagin's Maximum Principle in Gamkrelidze's form are given. These provide a complete set of relations enabling the computation of the optimal control strategy. This is a novel approach in the context of quantum systems.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 6