A Quantum Optimal Control Problem with State Constrained Preserving Coherence

• Tipo: Artigo em Livro de Atas de Conferência Internacional
• Data: 2022

Autores

Dehaghani, NB (Autor) Outra; Pereira, FL (Autor) Outra; Aguiar, AP (Autor) FEUP

Ata de Conferência Internacional

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

Páginas: 5831-5836

61st IEEE Conference on Decision and Control, CDC 2022

6 December 2022 through 9 December 2022

Indexação

ISI Web of Knowledge - 0 Citações

Scopus

Outras Informações

ID Authenticus: 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.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 6